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Finding the Third Proportional to 24,687 and 39,756

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Solution

The third proportional to 24,687 and 39,756 is: 64,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,687 : 39,756 = 39,756 : x
  2. Step 2: Convert to fraction form
    24,687/39,756 = 39,756/x
  3. Step 3: Cross multiply
    24,687x = 39,756 × 39,756
  4. Step 4: Simplify right side
    24,687x = 1,580,539,536
  5. Step 5: Solve for x
    x = 1,580,539,536/24,687
  6. Step 6: Final answer
    x = 64,023.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.