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Finding the Third Proportional to 12.14 and 25.71

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Solution

The third proportional to 12.14 and 25.71 is: 54.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.14 : 25.71 = 25.71 : x
  2. Step 2: Convert to fraction form
    12.14/25.71 = 25.71/x
  3. Step 3: Cross multiply
    12.14x = 25.71 × 25.71
  4. Step 4: Simplify right side
    12.14x = 661.05
  5. Step 5: Solve for x
    x = 661.05/12.14
  6. Step 6: Final answer
    x = 54.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.