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Finding the Third Proportional to 5.95 and 14.41

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Solution

The third proportional to 5.95 and 14.41 is: 34.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.95 : 14.41 = 14.41 : x
  2. Step 2: Convert to fraction form
    5.95/14.41 = 14.41/x
  3. Step 3: Cross multiply
    5.95x = 14.41 × 14.41
  4. Step 4: Simplify right side
    5.95x = 207.78
  5. Step 5: Solve for x
    x = 207.78/5.95
  6. Step 6: Final answer
    x = 34.93

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.