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Finding the Third Proportional to 7,498 and 8,218

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Solution

The third proportional to 7,498 and 8,218 is: 9,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498 : 8,218 = 8,218 : x
  2. Step 2: Convert to fraction form
    7,498/8,218 = 8,218/x
  3. Step 3: Cross multiply
    7,498x = 8,218 × 8,218
  4. Step 4: Simplify right side
    7,498x = 67,535,524
  5. Step 5: Solve for x
    x = 67,535,524/7,498
  6. Step 6: Final answer
    x = 9,007.14

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.