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Finding the Third Proportional to 37,287 and 80,730

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Solution

The third proportional to 37,287 and 80,730 is: 174,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,287 : 80,730 = 80,730 : x
  2. Step 2: Convert to fraction form
    37,287/80,730 = 80,730/x
  3. Step 3: Cross multiply
    37,287x = 80,730 × 80,730
  4. Step 4: Simplify right side
    37,287x = 6,517,332,900
  5. Step 5: Solve for x
    x = 6,517,332,900/37,287
  6. Step 6: Final answer
    x = 174,788.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.