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Finding the Third Proportional to 3,589.88 and 7,887.52

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Solution

The third proportional to 3,589.88 and 7,887.52 is: 17,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.88 : 7,887.52 = 7,887.52 : x
  2. Step 2: Convert to fraction form
    3,589.88/7,887.52 = 7,887.52/x
  3. Step 3: Cross multiply
    3,589.88x = 7,887.52 × 7,887.52
  4. Step 4: Simplify right side
    3,589.88x = 62,212,902.73
  5. Step 5: Solve for x
    x = 62,212,902.73/3,589.88
  6. Step 6: Final answer
    x = 17,330.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.