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Finding the Third Proportional to 16.25 and 24.25

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Solution

The third proportional to 16.25 and 24.25 is: 36.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.25 : 24.25 = 24.25 : x
  2. Step 2: Convert to fraction form
    16.25/24.25 = 24.25/x
  3. Step 3: Cross multiply
    16.25x = 24.25 × 24.25
  4. Step 4: Simplify right side
    16.25x = 588.06
  5. Step 5: Solve for x
    x = 588.06/16.25
  6. Step 6: Final answer
    x = 36.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.