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Finding the Third Proportional to 37,695.38 and 80,220.38

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Solution

The third proportional to 37,695.38 and 80,220.38 is: 170,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,695.38 : 80,220.38 = 80,220.38 : x
  2. Step 2: Convert to fraction form
    37,695.38/80,220.38 = 80,220.38/x
  3. Step 3: Cross multiply
    37,695.38x = 80,220.38 × 80,220.38
  4. Step 4: Simplify right side
    37,695.38x = 6,435,308,565.14
  5. Step 5: Solve for x
    x = 6,435,308,565.14/37,695.38
  6. Step 6: Final answer
    x = 170,718.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.