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Finding the Third Proportional to 38,782 and 61,508

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Solution

The third proportional to 38,782 and 61,508 is: 97,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782 : 61,508 = 61,508 : x
  2. Step 2: Convert to fraction form
    38,782/61,508 = 61,508/x
  3. Step 3: Cross multiply
    38,782x = 61,508 × 61,508
  4. Step 4: Simplify right side
    38,782x = 3,783,234,064
  5. Step 5: Solve for x
    x = 3,783,234,064/38,782
  6. Step 6: Final answer
    x = 97,551.29

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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.