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Finding the Third Proportional to 22.50 and 54.25

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Solution

The third proportional to 22.50 and 54.25 is: 130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.50 : 54.25 = 54.25 : x
  2. Step 2: Convert to fraction form
    22.50/54.25 = 54.25/x
  3. Step 3: Cross multiply
    22.50x = 54.25 × 54.25
  4. Step 4: Simplify right side
    22.50x = 2,943.06
  5. Step 5: Solve for x
    x = 2,943.06/22.50
  6. Step 6: Final answer
    x = 130.80

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.