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Finding the Third Proportional to 32,025.38 and 68,789.25

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Solution

The third proportional to 32,025.38 and 68,789.25 is: 147,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,025.38 : 68,789.25 = 68,789.25 : x
  2. Step 2: Convert to fraction form
    32,025.38/68,789.25 = 68,789.25/x
  3. Step 3: Cross multiply
    32,025.38x = 68,789.25 × 68,789.25
  4. Step 4: Simplify right side
    32,025.38x = 4,731,960,915.56
  5. Step 5: Solve for x
    x = 4,731,960,915.56/32,025.38
  6. Step 6: Final answer
    x = 147,756.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.