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Finding the Third Proportional to 38,176.31 and 57,682.13

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Solution

The third proportional to 38,176.31 and 57,682.13 is: 87,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176.31 : 57,682.13 = 57,682.13 : x
  2. Step 2: Convert to fraction form
    38,176.31/57,682.13 = 57,682.13/x
  3. Step 3: Cross multiply
    38,176.31x = 57,682.13 × 57,682.13
  4. Step 4: Simplify right side
    38,176.31x = 3,327,227,544.52
  5. Step 5: Solve for x
    x = 3,327,227,544.52/38,176.31
  6. Step 6: Final answer
    x = 87,154.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.