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Finding the Third Proportional to 8,662 and 9,958

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Solution

The third proportional to 8,662 and 9,958 is: 11,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662 : 9,958 = 9,958 : x
  2. Step 2: Convert to fraction form
    8,662/9,958 = 9,958/x
  3. Step 3: Cross multiply
    8,662x = 9,958 × 9,958
  4. Step 4: Simplify right side
    8,662x = 99,161,764
  5. Step 5: Solve for x
    x = 99,161,764/8,662
  6. Step 6: Final answer
    x = 11,447.91

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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.