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Finding the Third Proportional to 7,042.78 and 10,542.23

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Solution

The third proportional to 7,042.78 and 10,542.23 is: 15,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.78 : 10,542.23 = 10,542.23 : x
  2. Step 2: Convert to fraction form
    7,042.78/10,542.23 = 10,542.23/x
  3. Step 3: Cross multiply
    7,042.78x = 10,542.23 × 10,542.23
  4. Step 4: Simplify right side
    7,042.78x = 111,138,705.62
  5. Step 5: Solve for x
    x = 111,138,705.62/7,042.78
  6. Step 6: Final answer
    x = 15,780.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.