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Finding the Third Proportional to 5.20 and 6.89

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Solution

The third proportional to 5.20 and 6.89 is: 9.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.20 : 6.89 = 6.89 : x
  2. Step 2: Convert to fraction form
    5.20/6.89 = 6.89/x
  3. Step 3: Cross multiply
    5.20x = 6.89 × 6.89
  4. Step 4: Simplify right side
    5.20x = 47.48
  5. Step 5: Solve for x
    x = 47.48/5.20
  6. Step 6: Final answer
    x = 9.13

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.