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Finding the Third Proportional to 18,662 and 40,331

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Solution

The third proportional to 18,662 and 40,331 is: 87,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,662 : 40,331 = 40,331 : x
  2. Step 2: Convert to fraction form
    18,662/40,331 = 40,331/x
  3. Step 3: Cross multiply
    18,662x = 40,331 × 40,331
  4. Step 4: Simplify right side
    18,662x = 1,626,589,561
  5. Step 5: Solve for x
    x = 1,626,589,561/18,662
  6. Step 6: Final answer
    x = 87,160.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.