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Finding the Third Proportional to 7,467 and 8,277

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Solution

The third proportional to 7,467 and 8,277 is: 9,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467 : 8,277 = 8,277 : x
  2. Step 2: Convert to fraction form
    7,467/8,277 = 8,277/x
  3. Step 3: Cross multiply
    7,467x = 8,277 × 8,277
  4. Step 4: Simplify right side
    7,467x = 68,508,729
  5. Step 5: Solve for x
    x = 68,508,729/7,467
  6. Step 6: Final answer
    x = 9,174.87

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.