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Finding the Third Proportional to 25.92 and 53.96

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Solution

The third proportional to 25.92 and 53.96 is: 112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.92 : 53.96 = 53.96 : x
  2. Step 2: Convert to fraction form
    25.92/53.96 = 53.96/x
  3. Step 3: Cross multiply
    25.92x = 53.96 × 53.96
  4. Step 4: Simplify right side
    25.92x = 2,911.78
  5. Step 5: Solve for x
    x = 2,911.78/25.92
  6. Step 6: Final answer
    x = 112.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.