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Finding the Third Proportional to 6,806 and 7,510

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Solution

The third proportional to 6,806 and 7,510 is: 8,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806 : 7,510 = 7,510 : x
  2. Step 2: Convert to fraction form
    6,806/7,510 = 7,510/x
  3. Step 3: Cross multiply
    6,806x = 7,510 × 7,510
  4. Step 4: Simplify right side
    6,806x = 56,400,100
  5. Step 5: Solve for x
    x = 56,400,100/6,806
  6. Step 6: Final answer
    x = 8,286.82

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.