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Finding the Third Proportional to 6,802 and 7,688

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Solution

The third proportional to 6,802 and 7,688 is: 8,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802 : 7,688 = 7,688 : x
  2. Step 2: Convert to fraction form
    6,802/7,688 = 7,688/x
  3. Step 3: Cross multiply
    6,802x = 7,688 × 7,688
  4. Step 4: Simplify right side
    6,802x = 59,105,344
  5. Step 5: Solve for x
    x = 59,105,344/6,802
  6. Step 6: Final answer
    x = 8,689.41

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.