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Finding the Third Proportional to 20,552 and 22,414

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Solution

The third proportional to 20,552 and 22,414 is: 24,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552 : 22,414 = 22,414 : x
  2. Step 2: Convert to fraction form
    20,552/22,414 = 22,414/x
  3. Step 3: Cross multiply
    20,552x = 22,414 × 22,414
  4. Step 4: Simplify right side
    20,552x = 502,387,396
  5. Step 5: Solve for x
    x = 502,387,396/20,552
  6. Step 6: Final answer
    x = 24,444.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.