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Finding the Third Proportional to 40,648 and 61,402

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Solution

The third proportional to 40,648 and 61,402 is: 92,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,648 : 61,402 = 61,402 : x
  2. Step 2: Convert to fraction form
    40,648/61,402 = 61,402/x
  3. Step 3: Cross multiply
    40,648x = 61,402 × 61,402
  4. Step 4: Simplify right side
    40,648x = 3,770,205,604
  5. Step 5: Solve for x
    x = 3,770,205,604/40,648
  6. Step 6: Final answer
    x = 92,752.55

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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.