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Finding the Third Proportional to 11.25 and 25.50

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Solution

The third proportional to 11.25 and 25.50 is: 57.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.25 : 25.50 = 25.50 : x
  2. Step 2: Convert to fraction form
    11.25/25.50 = 25.50/x
  3. Step 3: Cross multiply
    11.25x = 25.50 × 25.50
  4. Step 4: Simplify right side
    11.25x = 650.25
  5. Step 5: Solve for x
    x = 650.25/11.25
  6. Step 6: Final answer
    x = 57.80

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.