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Finding the Third Proportional to 24.75 and 38.25

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Solution

The third proportional to 24.75 and 38.25 is: 59.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 38.25 = 38.25 : x
  2. Step 2: Convert to fraction form
    24.75/38.25 = 38.25/x
  3. Step 3: Cross multiply
    24.75x = 38.25 × 38.25
  4. Step 4: Simplify right side
    24.75x = 1,463.06
  5. Step 5: Solve for x
    x = 1,463.06/24.75
  6. Step 6: Final answer
    x = 59.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.