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Finding the Third Proportional to 13.71 and 25.90

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Solution

The third proportional to 13.71 and 25.90 is: 48.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.71 : 25.90 = 25.90 : x
  2. Step 2: Convert to fraction form
    13.71/25.90 = 25.90/x
  3. Step 3: Cross multiply
    13.71x = 25.90 × 25.90
  4. Step 4: Simplify right side
    13.71x = 670.91
  5. Step 5: Solve for x
    x = 670.91/13.71
  6. Step 6: Final answer
    x = 48.93

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.