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Finding the Third Proportional to 10,484 and 22,414

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Solution

The third proportional to 10,484 and 22,414 is: 47,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484 : 22,414 = 22,414 : x
  2. Step 2: Convert to fraction form
    10,484/22,414 = 22,414/x
  3. Step 3: Cross multiply
    10,484x = 22,414 × 22,414
  4. Step 4: Simplify right side
    10,484x = 502,387,396
  5. Step 5: Solve for x
    x = 502,387,396/10,484
  6. Step 6: Final answer
    x = 47,919.44

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.