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Finding the Third Proportional to 32,736.66 and 71,470.48

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Solution

The third proportional to 32,736.66 and 71,470.48 is: 156,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,736.66 : 71,470.48 = 71,470.48 : x
  2. Step 2: Convert to fraction form
    32,736.66/71,470.48 = 71,470.48/x
  3. Step 3: Cross multiply
    32,736.66x = 71,470.48 × 71,470.48
  4. Step 4: Simplify right side
    32,736.66x = 5,108,029,020.07
  5. Step 5: Solve for x
    x = 5,108,029,020.07/32,736.66
  6. Step 6: Final answer
    x = 156,033.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.