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Finding the Third Proportional to 41,031 and 58,670

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Solution

The third proportional to 41,031 and 58,670 is: 83,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,031 : 58,670 = 58,670 : x
  2. Step 2: Convert to fraction form
    41,031/58,670 = 58,670/x
  3. Step 3: Cross multiply
    41,031x = 58,670 × 58,670
  4. Step 4: Simplify right side
    41,031x = 3,442,168,900
  5. Step 5: Solve for x
    x = 3,442,168,900/41,031
  6. Step 6: Final answer
    x = 83,891.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.