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Finding the Third Proportional to 40,471 and 82,548

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Solution

The third proportional to 40,471 and 82,548 is: 168,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,471 : 82,548 = 82,548 : x
  2. Step 2: Convert to fraction form
    40,471/82,548 = 82,548/x
  3. Step 3: Cross multiply
    40,471x = 82,548 × 82,548
  4. Step 4: Simplify right side
    40,471x = 6,814,172,304
  5. Step 5: Solve for x
    x = 6,814,172,304/40,471
  6. Step 6: Final answer
    x = 168,371.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.