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Finding the Third Proportional to 42,724.34 and 66,162.45

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Solution

The third proportional to 42,724.34 and 66,162.45 is: 102,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,724.34 : 66,162.45 = 66,162.45 : x
  2. Step 2: Convert to fraction form
    42,724.34/66,162.45 = 66,162.45/x
  3. Step 3: Cross multiply
    42,724.34x = 66,162.45 × 66,162.45
  4. Step 4: Simplify right side
    42,724.34x = 4,377,469,169.73
  5. Step 5: Solve for x
    x = 4,377,469,169.73/42,724.34
  6. Step 6: Final answer
    x = 102,458.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.