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Finding the Third Proportional to 15,897 and 24,051

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Solution

The third proportional to 15,897 and 24,051 is: 36,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897 : 24,051 = 24,051 : x
  2. Step 2: Convert to fraction form
    15,897/24,051 = 24,051/x
  3. Step 3: Cross multiply
    15,897x = 24,051 × 24,051
  4. Step 4: Simplify right side
    15,897x = 578,450,601
  5. Step 5: Solve for x
    x = 578,450,601/15,897
  6. Step 6: Final answer
    x = 36,387.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.