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Finding the Third Proportional to 12.75 and 27.75

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Solution

The third proportional to 12.75 and 27.75 is: 60.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.75 : 27.75 = 27.75 : x
  2. Step 2: Convert to fraction form
    12.75/27.75 = 27.75/x
  3. Step 3: Cross multiply
    12.75x = 27.75 × 27.75
  4. Step 4: Simplify right side
    12.75x = 770.06
  5. Step 5: Solve for x
    x = 770.06/12.75
  6. Step 6: Final answer
    x = 60.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.