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Finding the Third Proportional to 32,559.47 and 69,115.78

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Solution

The third proportional to 32,559.47 and 69,115.78 is: 146,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,559.47 : 69,115.78 = 69,115.78 : x
  2. Step 2: Convert to fraction form
    32,559.47/69,115.78 = 69,115.78/x
  3. Step 3: Cross multiply
    32,559.47x = 69,115.78 × 69,115.78
  4. Step 4: Simplify right side
    32,559.47x = 4,776,991,217.80
  5. Step 5: Solve for x
    x = 4,776,991,217.80/32,559.47
  6. Step 6: Final answer
    x = 146,715.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.