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Finding the Third Proportional to 8,542.13 and 18,046.13

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Solution

The third proportional to 8,542.13 and 18,046.13 is: 38,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.13 : 18,046.13 = 18,046.13 : x
  2. Step 2: Convert to fraction form
    8,542.13/18,046.13 = 18,046.13/x
  3. Step 3: Cross multiply
    8,542.13x = 18,046.13 × 18,046.13
  4. Step 4: Simplify right side
    8,542.13x = 325,662,627.52
  5. Step 5: Solve for x
    x = 325,662,627.52/8,542.13
  6. Step 6: Final answer
    x = 38,124.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.