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Finding the Third Proportional to 39,043.69 and 84,007.13

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Solution

The third proportional to 39,043.69 and 84,007.13 is: 180,751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,043.69 : 84,007.13 = 84,007.13 : x
  2. Step 2: Convert to fraction form
    39,043.69/84,007.13 = 84,007.13/x
  3. Step 3: Cross multiply
    39,043.69x = 84,007.13 × 84,007.13
  4. Step 4: Simplify right side
    39,043.69x = 7,057,197,050.77
  5. Step 5: Solve for x
    x = 7,057,197,050.77/39,043.69
  6. Step 6: Final answer
    x = 180,751.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.