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Finding the Third Proportional to 13.76 and 18.51

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Solution

The third proportional to 13.76 and 18.51 is: 24.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.76 : 18.51 = 18.51 : x
  2. Step 2: Convert to fraction form
    13.76/18.51 = 18.51/x
  3. Step 3: Cross multiply
    13.76x = 18.51 × 18.51
  4. Step 4: Simplify right side
    13.76x = 342.61
  5. Step 5: Solve for x
    x = 342.61/13.76
  6. Step 6: Final answer
    x = 24.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.