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Finding the Third Proportional to 34,399.69 and 71,011.69

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Solution

The third proportional to 34,399.69 and 71,011.69 is: 146,590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,399.69 : 71,011.69 = 71,011.69 : x
  2. Step 2: Convert to fraction form
    34,399.69/71,011.69 = 71,011.69/x
  3. Step 3: Cross multiply
    34,399.69x = 71,011.69 × 71,011.69
  4. Step 4: Simplify right side
    34,399.69x = 5,042,659,761.60
  5. Step 5: Solve for x
    x = 5,042,659,761.60/34,399.69
  6. Step 6: Final answer
    x = 146,590.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.