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Finding the Third Proportional to 5,542.17 and 8,587.27

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Solution

The third proportional to 5,542.17 and 8,587.27 is: 13,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.17 : 8,587.27 = 8,587.27 : x
  2. Step 2: Convert to fraction form
    5,542.17/8,587.27 = 8,587.27/x
  3. Step 3: Cross multiply
    5,542.17x = 8,587.27 × 8,587.27
  4. Step 4: Simplify right side
    5,542.17x = 73,741,130.91
  5. Step 5: Solve for x
    x = 73,741,130.91/5,542.17
  6. Step 6: Final answer
    x = 13,305.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.