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Finding the Third Proportional to 40,682 and 62,319

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Solution

The third proportional to 40,682 and 62,319 is: 95,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,682 : 62,319 = 62,319 : x
  2. Step 2: Convert to fraction form
    40,682/62,319 = 62,319/x
  3. Step 3: Cross multiply
    40,682x = 62,319 × 62,319
  4. Step 4: Simplify right side
    40,682x = 3,883,657,761
  5. Step 5: Solve for x
    x = 3,883,657,761/40,682
  6. Step 6: Final answer
    x = 95,463.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.