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Finding the Third Proportional to 5,686 and 7,689

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Solution

The third proportional to 5,686 and 7,689 is: 10,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686 : 7,689 = 7,689 : x
  2. Step 2: Convert to fraction form
    5,686/7,689 = 7,689/x
  3. Step 3: Cross multiply
    5,686x = 7,689 × 7,689
  4. Step 4: Simplify right side
    5,686x = 59,120,721
  5. Step 5: Solve for x
    x = 59,120,721/5,686
  6. Step 6: Final answer
    x = 10,397.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.