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Finding the Third Proportional to 8,542.97 and 17,508.81

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Solution

The third proportional to 8,542.97 and 17,508.81 is: 35,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.97 : 17,508.81 = 17,508.81 : x
  2. Step 2: Convert to fraction form
    8,542.97/17,508.81 = 17,508.81/x
  3. Step 3: Cross multiply
    8,542.97x = 17,508.81 × 17,508.81
  4. Step 4: Simplify right side
    8,542.97x = 306,558,583.55
  5. Step 5: Solve for x
    x = 306,558,583.55/8,542.97
  6. Step 6: Final answer
    x = 35,884.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.