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Finding the Third Proportional to 5.41 and 14.87

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Solution

The third proportional to 5.41 and 14.87 is: 40.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.41 : 14.87 = 14.87 : x
  2. Step 2: Convert to fraction form
    5.41/14.87 = 14.87/x
  3. Step 3: Cross multiply
    5.41x = 14.87 × 14.87
  4. Step 4: Simplify right side
    5.41x = 221.02
  5. Step 5: Solve for x
    x = 221.02/5.41
  6. Step 6: Final answer
    x = 40.88

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.