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Finding the Third Proportional to 40,472 and 82,550

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Solution

The third proportional to 40,472 and 82,550 is: 168,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,472 : 82,550 = 82,550 : x
  2. Step 2: Convert to fraction form
    40,472/82,550 = 82,550/x
  3. Step 3: Cross multiply
    40,472x = 82,550 × 82,550
  4. Step 4: Simplify right side
    40,472x = 6,814,502,500
  5. Step 5: Solve for x
    x = 6,814,502,500/40,472
  6. Step 6: Final answer
    x = 168,375.73

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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.