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Finding the Third Proportional to 6,785 and 7,769

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Solution

The third proportional to 6,785 and 7,769 is: 8,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785 : 7,769 = 7,769 : x
  2. Step 2: Convert to fraction form
    6,785/7,769 = 7,769/x
  3. Step 3: Cross multiply
    6,785x = 7,769 × 7,769
  4. Step 4: Simplify right side
    6,785x = 60,357,361
  5. Step 5: Solve for x
    x = 60,357,361/6,785
  6. Step 6: Final answer
    x = 8,895.71

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.