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Finding the Third Proportional to 32,601.94 and 71,438.06

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Solution

The third proportional to 32,601.94 and 71,438.06 is: 156,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,601.94 : 71,438.06 = 71,438.06 : x
  2. Step 2: Convert to fraction form
    32,601.94/71,438.06 = 71,438.06/x
  3. Step 3: Cross multiply
    32,601.94x = 71,438.06 × 71,438.06
  4. Step 4: Simplify right side
    32,601.94x = 5,103,396,773.75
  5. Step 5: Solve for x
    x = 5,103,396,773.75/32,601.94
  6. Step 6: Final answer
    x = 156,536.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.