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Finding the Third Proportional to 23 and 55.25

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Solution

The third proportional to 23 and 55.25 is: 132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 55.25 = 55.25 : x
  2. Step 2: Convert to fraction form
    23/55.25 = 55.25/x
  3. Step 3: Cross multiply
    23x = 55.25 × 55.25
  4. Step 4: Simplify right side
    23x = 3,052.56
  5. Step 5: Solve for x
    x = 3,052.56/23
  6. Step 6: Final answer
    x = 132.72

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.