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Finding the Third Proportional to 1.42 and 4.03

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Solution

The third proportional to 1.42 and 4.03 is: 11.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.42 : 4.03 = 4.03 : x
  2. Step 2: Convert to fraction form
    1.42/4.03 = 4.03/x
  3. Step 3: Cross multiply
    1.42x = 4.03 × 4.03
  4. Step 4: Simplify right side
    1.42x = 16.27
  5. Step 5: Solve for x
    x = 16.27/1.42
  6. Step 6: Final answer
    x = 11.43

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Why These Related Problems?

These problems maintain the same ratio (2.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.