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Finding the Third Proportional to 1.33 and 2.14

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Solution

The third proportional to 1.33 and 2.14 is: 3.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.33 : 2.14 = 2.14 : x
  2. Step 2: Convert to fraction form
    1.33/2.14 = 2.14/x
  3. Step 3: Cross multiply
    1.33x = 2.14 × 2.14
  4. Step 4: Simplify right side
    1.33x = 4.56
  5. Step 5: Solve for x
    x = 4.56/1.33
  6. Step 6: Final answer
    x = 3.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.