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Finding the Third Proportional to 38,494.62 and 57,585.30

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Solution

The third proportional to 38,494.62 and 57,585.30 is: 86,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494.62 : 57,585.30 = 57,585.30 : x
  2. Step 2: Convert to fraction form
    38,494.62/57,585.30 = 57,585.30/x
  3. Step 3: Cross multiply
    38,494.62x = 57,585.30 × 57,585.30
  4. Step 4: Simplify right side
    38,494.62x = 3,316,067,315.95
  5. Step 5: Solve for x
    x = 3,316,067,315.95/38,494.62
  6. Step 6: Final answer
    x = 86,143.66

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