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Finding the Third Proportional to 25.37 and 49.89

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Solution

The third proportional to 25.37 and 49.89 is: 98.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.37 : 49.89 = 49.89 : x
  2. Step 2: Convert to fraction form
    25.37/49.89 = 49.89/x
  3. Step 3: Cross multiply
    25.37x = 49.89 × 49.89
  4. Step 4: Simplify right side
    25.37x = 2,488.54
  5. Step 5: Solve for x
    x = 2,488.54/25.37
  6. Step 6: Final answer
    x = 98.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.