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Finding the Third Proportional to 9,175.88 and 10,542.75

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Solution

The third proportional to 9,175.88 and 10,542.75 is: 12,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.88 : 10,542.75 = 10,542.75 : x
  2. Step 2: Convert to fraction form
    9,175.88/10,542.75 = 10,542.75/x
  3. Step 3: Cross multiply
    9,175.88x = 10,542.75 × 10,542.75
  4. Step 4: Simplify right side
    9,175.88x = 111,149,577.56
  5. Step 5: Solve for x
    x = 111,149,577.56/9,175.88
  6. Step 6: Final answer
    x = 12,113.24

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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.