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Finding the Third Proportional to 1.32 and 2.24

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Solution

The third proportional to 1.32 and 2.24 is: 3.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.32 : 2.24 = 2.24 : x
  2. Step 2: Convert to fraction form
    1.32/2.24 = 2.24/x
  3. Step 3: Cross multiply
    1.32x = 2.24 × 2.24
  4. Step 4: Simplify right side
    1.32x = 5.03
  5. Step 5: Solve for x
    x = 5.03/1.32
  6. Step 6: Final answer
    x = 3.81

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.