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Finding the Third Proportional to 38,470.78 and 57,552.19

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Solution

The third proportional to 38,470.78 and 57,552.19 is: 86,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.78 : 57,552.19 = 57,552.19 : x
  2. Step 2: Convert to fraction form
    38,470.78/57,552.19 = 57,552.19/x
  3. Step 3: Cross multiply
    38,470.78x = 57,552.19 × 57,552.19
  4. Step 4: Simplify right side
    38,470.78x = 3,312,254,286.04
  5. Step 5: Solve for x
    x = 3,312,254,286.04/38,470.78
  6. Step 6: Final answer
    x = 86,097.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.