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Finding the Third Proportional to 6.61 and 9.57

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Solution

The third proportional to 6.61 and 9.57 is: 13.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.61 : 9.57 = 9.57 : x
  2. Step 2: Convert to fraction form
    6.61/9.57 = 9.57/x
  3. Step 3: Cross multiply
    6.61x = 9.57 × 9.57
  4. Step 4: Simplify right side
    6.61x = 91.53
  5. Step 5: Solve for x
    x = 91.53/6.61
  6. Step 6: Final answer
    x = 13.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.