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Finding the Third Proportional to 24,466 and 38,882

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Solution

The third proportional to 24,466 and 38,882 is: 61,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,466 : 38,882 = 38,882 : x
  2. Step 2: Convert to fraction form
    24,466/38,882 = 38,882/x
  3. Step 3: Cross multiply
    24,466x = 38,882 × 38,882
  4. Step 4: Simplify right side
    24,466x = 1,511,809,924
  5. Step 5: Solve for x
    x = 1,511,809,924/24,466
  6. Step 6: Final answer
    x = 61,792.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.