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Finding the Third Proportional to 12.07 and 25.24

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Solution

The third proportional to 12.07 and 25.24 is: 52.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.07 : 25.24 = 25.24 : x
  2. Step 2: Convert to fraction form
    12.07/25.24 = 25.24/x
  3. Step 3: Cross multiply
    12.07x = 25.24 × 25.24
  4. Step 4: Simplify right side
    12.07x = 636.85
  5. Step 5: Solve for x
    x = 636.85/12.07
  6. Step 6: Final answer
    x = 52.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.