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Finding the Third Proportional to 10,454 and 22,424

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Solution

The third proportional to 10,454 and 22,424 is: 48,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454 : 22,424 = 22,424 : x
  2. Step 2: Convert to fraction form
    10,454/22,424 = 22,424/x
  3. Step 3: Cross multiply
    10,454x = 22,424 × 22,424
  4. Step 4: Simplify right side
    10,454x = 502,835,776
  5. Step 5: Solve for x
    x = 502,835,776/10,454
  6. Step 6: Final answer
    x = 48,099.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.