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Finding the Third Proportional to 1.66 and 3.00

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Solution

The third proportional to 1.66 and 3.00 is: 5.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.66 : 3.00 = 3.00 : x
  2. Step 2: Convert to fraction form
    1.66/3.00 = 3.00/x
  3. Step 3: Cross multiply
    1.66x = 3.00 × 3.00
  4. Step 4: Simplify right side
    1.66x = 8.99
  5. Step 5: Solve for x
    x = 8.99/1.66
  6. Step 6: Final answer
    x = 5.43

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.