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Finding the Third Proportional to 40,865 and 61,909

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Solution

The third proportional to 40,865 and 61,909 is: 93,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,865 : 61,909 = 61,909 : x
  2. Step 2: Convert to fraction form
    40,865/61,909 = 61,909/x
  3. Step 3: Cross multiply
    40,865x = 61,909 × 61,909
  4. Step 4: Simplify right side
    40,865x = 3,832,724,281
  5. Step 5: Solve for x
    x = 3,832,724,281/40,865
  6. Step 6: Final answer
    x = 93,789.90

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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.