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Finding the Third Proportional to 15,926 and 31,448

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Solution

The third proportional to 15,926 and 31,448 is: 62,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,926 : 31,448 = 31,448 : x
  2. Step 2: Convert to fraction form
    15,926/31,448 = 31,448/x
  3. Step 3: Cross multiply
    15,926x = 31,448 × 31,448
  4. Step 4: Simplify right side
    15,926x = 988,976,704
  5. Step 5: Solve for x
    x = 988,976,704/15,926
  6. Step 6: Final answer
    x = 62,098.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.