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Finding the Third Proportional to 23.29 and 30.82

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Solution

The third proportional to 23.29 and 30.82 is: 40.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.29 : 30.82 = 30.82 : x
  2. Step 2: Convert to fraction form
    23.29/30.82 = 30.82/x
  3. Step 3: Cross multiply
    23.29x = 30.82 × 30.82
  4. Step 4: Simplify right side
    23.29x = 950.13
  5. Step 5: Solve for x
    x = 950.13/23.29
  6. Step 6: Final answer
    x = 40.80

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.