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Finding the Third Proportional to 40,822 and 62,442

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Solution

The third proportional to 40,822 and 62,442 is: 95,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,822 : 62,442 = 62,442 : x
  2. Step 2: Convert to fraction form
    40,822/62,442 = 62,442/x
  3. Step 3: Cross multiply
    40,822x = 62,442 × 62,442
  4. Step 4: Simplify right side
    40,822x = 3,899,003,364
  5. Step 5: Solve for x
    x = 3,899,003,364/40,822
  6. Step 6: Final answer
    x = 95,512.31

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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.