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Finding the Third Proportional to 16.25 and 23.88

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Solution

The third proportional to 16.25 and 23.88 is: 35.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.25 : 23.88 = 23.88 : x
  2. Step 2: Convert to fraction form
    16.25/23.88 = 23.88/x
  3. Step 3: Cross multiply
    16.25x = 23.88 × 23.88
  4. Step 4: Simplify right side
    16.25x = 570.02
  5. Step 5: Solve for x
    x = 570.02/16.25
  6. Step 6: Final answer
    x = 35.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.