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Finding the Third Proportional to 10,447 and 22,531

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Solution

The third proportional to 10,447 and 22,531 is: 48,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447 : 22,531 = 22,531 : x
  2. Step 2: Convert to fraction form
    10,447/22,531 = 22,531/x
  3. Step 3: Cross multiply
    10,447x = 22,531 × 22,531
  4. Step 4: Simplify right side
    10,447x = 507,645,961
  5. Step 5: Solve for x
    x = 507,645,961/10,447
  6. Step 6: Final answer
    x = 48,592.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.