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Finding the Third Proportional to 7,597 and 8,677

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Solution

The third proportional to 7,597 and 8,677 is: 9,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597 : 8,677 = 8,677 : x
  2. Step 2: Convert to fraction form
    7,597/8,677 = 8,677/x
  3. Step 3: Cross multiply
    7,597x = 8,677 × 8,677
  4. Step 4: Simplify right side
    7,597x = 75,290,329
  5. Step 5: Solve for x
    x = 75,290,329/7,597
  6. Step 6: Final answer
    x = 9,910.53

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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.