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Finding the Third Proportional to 8,542.13 and 9,817.88

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Solution

The third proportional to 8,542.13 and 9,817.88 is: 11,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.13 : 9,817.88 = 9,817.88 : x
  2. Step 2: Convert to fraction form
    8,542.13/9,817.88 = 9,817.88/x
  3. Step 3: Cross multiply
    8,542.13x = 9,817.88 × 9,817.88
  4. Step 4: Simplify right side
    8,542.13x = 96,390,669.52
  5. Step 5: Solve for x
    x = 96,390,669.52/8,542.13
  6. Step 6: Final answer
    x = 11,284.16

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.