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Finding the Third Proportional to 52,590.38 and 81,586.13

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Solution

The third proportional to 52,590.38 and 81,586.13 is: 126,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,590.38 : 81,586.13 = 81,586.13 : x
  2. Step 2: Convert to fraction form
    52,590.38/81,586.13 = 81,586.13/x
  3. Step 3: Cross multiply
    52,590.38x = 81,586.13 × 81,586.13
  4. Step 4: Simplify right side
    52,590.38x = 6,656,295,792.52
  5. Step 5: Solve for x
    x = 6,656,295,792.52/52,590.38
  6. Step 6: Final answer
    x = 126,568.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.