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Finding the Third Proportional to 6.74 and 7.70

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Solution

The third proportional to 6.74 and 7.70 is: 8.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.74 : 7.70 = 7.70 : x
  2. Step 2: Convert to fraction form
    6.74/7.70 = 7.70/x
  3. Step 3: Cross multiply
    6.74x = 7.70 × 7.70
  4. Step 4: Simplify right side
    6.74x = 59.25
  5. Step 5: Solve for x
    x = 59.25/6.74
  6. Step 6: Final answer
    x = 8.80

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.