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Finding the Third Proportional to 23.86 and 62.66

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Solution

The third proportional to 23.86 and 62.66 is: 164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.86 : 62.66 = 62.66 : x
  2. Step 2: Convert to fraction form
    23.86/62.66 = 62.66/x
  3. Step 3: Cross multiply
    23.86x = 62.66 × 62.66
  4. Step 4: Simplify right side
    23.86x = 3,926.52
  5. Step 5: Solve for x
    x = 3,926.52/23.86
  6. Step 6: Final answer
    x = 164.55

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.