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Finding the Third Proportional to 1.43 and 3.14

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Solution

The third proportional to 1.43 and 3.14 is: 6.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.43 : 3.14 = 3.14 : x
  2. Step 2: Convert to fraction form
    1.43/3.14 = 3.14/x
  3. Step 3: Cross multiply
    1.43x = 3.14 × 3.14
  4. Step 4: Simplify right side
    1.43x = 9.84
  5. Step 5: Solve for x
    x = 9.84/1.43
  6. Step 6: Final answer
    x = 6.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.