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Finding the Third Proportional to 39,016.69 and 82,635.19

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Solution

The third proportional to 39,016.69 and 82,635.19 is: 175,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,016.69 : 82,635.19 = 82,635.19 : x
  2. Step 2: Convert to fraction form
    39,016.69/82,635.19 = 82,635.19/x
  3. Step 3: Cross multiply
    39,016.69x = 82,635.19 × 82,635.19
  4. Step 4: Simplify right side
    39,016.69x = 6,828,574,213.16
  5. Step 5: Solve for x
    x = 6,828,574,213.16/39,016.69
  6. Step 6: Final answer
    x = 175,016.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.