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Finding the Third Proportional to 25.75 and 36.88

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Solution

The third proportional to 25.75 and 36.88 is: 52.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.75 : 36.88 = 36.88 : x
  2. Step 2: Convert to fraction form
    25.75/36.88 = 36.88/x
  3. Step 3: Cross multiply
    25.75x = 36.88 × 36.88
  4. Step 4: Simplify right side
    25.75x = 1,359.77
  5. Step 5: Solve for x
    x = 1,359.77/25.75
  6. Step 6: Final answer
    x = 52.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.