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Finding the Third Proportional to 27 and 62.23

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Solution

The third proportional to 27 and 62.23 is: 143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27 : 62.23 = 62.23 : x
  2. Step 2: Convert to fraction form
    27/62.23 = 62.23/x
  3. Step 3: Cross multiply
    27x = 62.23 × 62.23
  4. Step 4: Simplify right side
    27x = 3,872.15
  5. Step 5: Solve for x
    x = 3,872.15/27
  6. Step 6: Final answer
    x = 143.41

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.