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Finding the Third Proportional to 7.50 and 7.69

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Solution

The third proportional to 7.50 and 7.69 is: 7.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.50 : 7.69 = 7.69 : x
  2. Step 2: Convert to fraction form
    7.50/7.69 = 7.69/x
  3. Step 3: Cross multiply
    7.50x = 7.69 × 7.69
  4. Step 4: Simplify right side
    7.50x = 59.10
  5. Step 5: Solve for x
    x = 59.10/7.50
  6. Step 6: Final answer
    x = 7.88

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.