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Finding the Third Proportional to 5,721.19 and 9,042.47

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Solution

The third proportional to 5,721.19 and 9,042.47 is: 14,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.19 : 9,042.47 = 9,042.47 : x
  2. Step 2: Convert to fraction form
    5,721.19/9,042.47 = 9,042.47/x
  3. Step 3: Cross multiply
    5,721.19x = 9,042.47 × 9,042.47
  4. Step 4: Simplify right side
    5,721.19x = 81,766,241.09
  5. Step 5: Solve for x
    x = 81,766,241.09/5,721.19
  6. Step 6: Final answer
    x = 14,291.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.