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Finding the Third Proportional to 22.75 and 40.25

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Solution

The third proportional to 22.75 and 40.25 is: 71.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.75 : 40.25 = 40.25 : x
  2. Step 2: Convert to fraction form
    22.75/40.25 = 40.25/x
  3. Step 3: Cross multiply
    22.75x = 40.25 × 40.25
  4. Step 4: Simplify right side
    22.75x = 1,620.06
  5. Step 5: Solve for x
    x = 1,620.06/22.75
  6. Step 6: Final answer
    x = 71.21

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.