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Finding the Third Proportional to 14.13 and 31.43

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Solution

The third proportional to 14.13 and 31.43 is: 69.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.13 : 31.43 = 31.43 : x
  2. Step 2: Convert to fraction form
    14.13/31.43 = 31.43/x
  3. Step 3: Cross multiply
    14.13x = 31.43 × 31.43
  4. Step 4: Simplify right side
    14.13x = 987.83
  5. Step 5: Solve for x
    x = 987.83/14.13
  6. Step 6: Final answer
    x = 69.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.