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Finding the Third Proportional to 6,746 and 8,775

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Solution

The third proportional to 6,746 and 8,775 is: 11,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746 : 8,775 = 8,775 : x
  2. Step 2: Convert to fraction form
    6,746/8,775 = 8,775/x
  3. Step 3: Cross multiply
    6,746x = 8,775 × 8,775
  4. Step 4: Simplify right side
    6,746x = 77,000,625
  5. Step 5: Solve for x
    x = 77,000,625/6,746
  6. Step 6: Final answer
    x = 11,414.26

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.