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Finding the Third Proportional to 15,539 and 24,617

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Solution

The third proportional to 15,539 and 24,617 is: 38,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,539 : 24,617 = 24,617 : x
  2. Step 2: Convert to fraction form
    15,539/24,617 = 24,617/x
  3. Step 3: Cross multiply
    15,539x = 24,617 × 24,617
  4. Step 4: Simplify right side
    15,539x = 605,996,689
  5. Step 5: Solve for x
    x = 605,996,689/15,539
  6. Step 6: Final answer
    x = 38,998.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.