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Finding the Third Proportional to 6,695 and 7,181

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Solution

The third proportional to 6,695 and 7,181 is: 7,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695 : 7,181 = 7,181 : x
  2. Step 2: Convert to fraction form
    6,695/7,181 = 7,181/x
  3. Step 3: Cross multiply
    6,695x = 7,181 × 7,181
  4. Step 4: Simplify right side
    6,695x = 51,566,761
  5. Step 5: Solve for x
    x = 51,566,761/6,695
  6. Step 6: Final answer
    x = 7,702.28

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.