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Finding the Third Proportional to 1.41 and 2.00

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Solution

The third proportional to 1.41 and 2.00 is: 2.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.41 : 2.00 = 2.00 : x
  2. Step 2: Convert to fraction form
    1.41/2.00 = 2.00/x
  3. Step 3: Cross multiply
    1.41x = 2.00 × 2.00
  4. Step 4: Simplify right side
    1.41x = 4.02
  5. Step 5: Solve for x
    x = 4.02/1.41
  6. Step 6: Final answer
    x = 2.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.