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Finding the Third Proportional to 8,102 and 9,218

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Solution

The third proportional to 8,102 and 9,218 is: 10,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102 : 9,218 = 9,218 : x
  2. Step 2: Convert to fraction form
    8,102/9,218 = 9,218/x
  3. Step 3: Cross multiply
    8,102x = 9,218 × 9,218
  4. Step 4: Simplify right side
    8,102x = 84,971,524
  5. Step 5: Solve for x
    x = 84,971,524/8,102
  6. Step 6: Final answer
    x = 10,487.72

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.