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Finding the Third Proportional to 23,691.38 and 39,479.06

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Solution

The third proportional to 23,691.38 and 39,479.06 is: 65,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.38 : 39,479.06 = 39,479.06 : x
  2. Step 2: Convert to fraction form
    23,691.38/39,479.06 = 39,479.06/x
  3. Step 3: Cross multiply
    23,691.38x = 39,479.06 × 39,479.06
  4. Step 4: Simplify right side
    23,691.38x = 1,558,596,375.88
  5. Step 5: Solve for x
    x = 1,558,596,375.88/23,691.38
  6. Step 6: Final answer
    x = 65,787.50

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.