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Finding the Third Proportional to 25.31 and 51.84

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Solution

The third proportional to 25.31 and 51.84 is: 106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.31 : 51.84 = 51.84 : x
  2. Step 2: Convert to fraction form
    25.31/51.84 = 51.84/x
  3. Step 3: Cross multiply
    25.31x = 51.84 × 51.84
  4. Step 4: Simplify right side
    25.31x = 2,687.77
  5. Step 5: Solve for x
    x = 2,687.77/25.31
  6. Step 6: Final answer
    x = 106.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.