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Finding the Third Proportional to 6,782 and 7,550

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Solution

The third proportional to 6,782 and 7,550 is: 8,404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782 : 7,550 = 7,550 : x
  2. Step 2: Convert to fraction form
    6,782/7,550 = 7,550/x
  3. Step 3: Cross multiply
    6,782x = 7,550 × 7,550
  4. Step 4: Simplify right side
    6,782x = 57,002,500
  5. Step 5: Solve for x
    x = 57,002,500/6,782
  6. Step 6: Final answer
    x = 8,404.97

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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.