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Finding the Third Proportional to 25.56 and 50.75

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Solution

The third proportional to 25.56 and 50.75 is: 100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.56 : 50.75 = 50.75 : x
  2. Step 2: Convert to fraction form
    25.56/50.75 = 50.75/x
  3. Step 3: Cross multiply
    25.56x = 50.75 × 50.75
  4. Step 4: Simplify right side
    25.56x = 2,575.56
  5. Step 5: Solve for x
    x = 2,575.56/25.56
  6. Step 6: Final answer
    x = 100.76

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.