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Finding the Third Proportional to 12.52 and 23.66

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Solution

The third proportional to 12.52 and 23.66 is: 44.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.52 : 23.66 = 23.66 : x
  2. Step 2: Convert to fraction form
    12.52/23.66 = 23.66/x
  3. Step 3: Cross multiply
    12.52x = 23.66 × 23.66
  4. Step 4: Simplify right side
    12.52x = 559.63
  5. Step 5: Solve for x
    x = 559.63/12.52
  6. Step 6: Final answer
    x = 44.68

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.