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Finding the Third Proportional to 39,016.69 and 79,233.19

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Solution

The third proportional to 39,016.69 and 79,233.19 is: 160,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,016.69 : 79,233.19 = 79,233.19 : x
  2. Step 2: Convert to fraction form
    39,016.69/79,233.19 = 79,233.19/x
  3. Step 3: Cross multiply
    39,016.69x = 79,233.19 × 79,233.19
  4. Step 4: Simplify right side
    39,016.69x = 6,277,898,001.41
  5. Step 5: Solve for x
    x = 6,277,898,001.41/39,016.69
  6. Step 6: Final answer
    x = 160,902.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.