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Finding the Third Proportional to 3.02 and 6.61

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Solution

The third proportional to 3.02 and 6.61 is: 14.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.02 : 6.61 = 6.61 : x
  2. Step 2: Convert to fraction form
    3.02/6.61 = 6.61/x
  3. Step 3: Cross multiply
    3.02x = 6.61 × 6.61
  4. Step 4: Simplify right side
    3.02x = 43.68
  5. Step 5: Solve for x
    x = 43.68/3.02
  6. Step 6: Final answer
    x = 14.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.