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Finding the Third Proportional to 9.75 and 23.25

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Solution

The third proportional to 9.75 and 23.25 is: 55.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.75 : 23.25 = 23.25 : x
  2. Step 2: Convert to fraction form
    9.75/23.25 = 23.25/x
  3. Step 3: Cross multiply
    9.75x = 23.25 × 23.25
  4. Step 4: Simplify right side
    9.75x = 540.56
  5. Step 5: Solve for x
    x = 540.56/9.75
  6. Step 6: Final answer
    x = 55.44

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.