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Finding the Third Proportional to 1.66 and 3.59

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Solution

The third proportional to 1.66 and 3.59 is: 7.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.66 : 3.59 = 3.59 : x
  2. Step 2: Convert to fraction form
    1.66/3.59 = 3.59/x
  3. Step 3: Cross multiply
    1.66x = 3.59 × 3.59
  4. Step 4: Simplify right side
    1.66x = 12.92
  5. Step 5: Solve for x
    x = 12.92/1.66
  6. Step 6: Final answer
    x = 7.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.