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Finding the Third Proportional to 26.25 and 49.88

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Solution

The third proportional to 26.25 and 49.88 is: 94.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.25 : 49.88 = 49.88 : x
  2. Step 2: Convert to fraction form
    26.25/49.88 = 49.88/x
  3. Step 3: Cross multiply
    26.25x = 49.88 × 49.88
  4. Step 4: Simplify right side
    26.25x = 2,487.52
  5. Step 5: Solve for x
    x = 2,487.52/26.25
  6. Step 6: Final answer
    x = 94.76

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.