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Finding the Third Proportional to 32,437.65 and 69,727.71

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Solution

The third proportional to 32,437.65 and 69,727.71 is: 149,886.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,437.65 : 69,727.71 = 69,727.71 : x
  2. Step 2: Convert to fraction form
    32,437.65/69,727.71 = 69,727.71/x
  3. Step 3: Cross multiply
    32,437.65x = 69,727.71 × 69,727.71
  4. Step 4: Simplify right side
    32,437.65x = 4,861,953,672.58
  5. Step 5: Solve for x
    x = 4,861,953,672.58/32,437.65
  6. Step 6: Final answer
    x = 149,886.11

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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.