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Finding the Third Proportional to 14.31 and 25.91

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Solution

The third proportional to 14.31 and 25.91 is: 46.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.31 : 25.91 = 25.91 : x
  2. Step 2: Convert to fraction form
    14.31/25.91 = 25.91/x
  3. Step 3: Cross multiply
    14.31x = 25.91 × 25.91
  4. Step 4: Simplify right side
    14.31x = 671.34
  5. Step 5: Solve for x
    x = 671.34/14.31
  6. Step 6: Final answer
    x = 46.92

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.