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Finding the Third Proportional to 16.14 and 24.61

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Solution

The third proportional to 16.14 and 24.61 is: 37.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.14 : 24.61 = 24.61 : x
  2. Step 2: Convert to fraction form
    16.14/24.61 = 24.61/x
  3. Step 3: Cross multiply
    16.14x = 24.61 × 24.61
  4. Step 4: Simplify right side
    16.14x = 605.50
  5. Step 5: Solve for x
    x = 605.50/16.14
  6. Step 6: Final answer
    x = 37.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.