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Finding the Third Proportional to 39,600.50 and 82,007.97

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Solution

The third proportional to 39,600.50 and 82,007.97 is: 169,828.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,600.50 : 82,007.97 = 82,007.97 : x
  2. Step 2: Convert to fraction form
    39,600.50/82,007.97 = 82,007.97/x
  3. Step 3: Cross multiply
    39,600.50x = 82,007.97 × 82,007.97
  4. Step 4: Simplify right side
    39,600.50x = 6,725,306,938.50
  5. Step 5: Solve for x
    x = 6,725,306,938.50/39,600.50
  6. Step 6: Final answer
    x = 169,828.84

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.