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Finding the Third Proportional to 12.34 and 25.31

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Solution

The third proportional to 12.34 and 25.31 is: 51.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.34 : 25.31 = 25.31 : x
  2. Step 2: Convert to fraction form
    12.34/25.31 = 25.31/x
  3. Step 3: Cross multiply
    12.34x = 25.31 × 25.31
  4. Step 4: Simplify right side
    12.34x = 640.72
  5. Step 5: Solve for x
    x = 640.72/12.34
  6. Step 6: Final answer
    x = 51.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.