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Finding the Third Proportional to 51.25 and 68.88

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Solution

The third proportional to 51.25 and 68.88 is: 92.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.25 : 68.88 = 68.88 : x
  2. Step 2: Convert to fraction form
    51.25/68.88 = 68.88/x
  3. Step 3: Cross multiply
    51.25x = 68.88 × 68.88
  4. Step 4: Simplify right side
    51.25x = 4,743.77
  5. Step 5: Solve for x
    x = 4,743.77/51.25
  6. Step 6: Final answer
    x = 92.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.