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Finding the Third Proportional to 23.25 and 41.81

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Solution

The third proportional to 23.25 and 41.81 is: 75.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.25 : 41.81 = 41.81 : x
  2. Step 2: Convert to fraction form
    23.25/41.81 = 41.81/x
  3. Step 3: Cross multiply
    23.25x = 41.81 × 41.81
  4. Step 4: Simplify right side
    23.25x = 1,748.29
  5. Step 5: Solve for x
    x = 1,748.29/23.25
  6. Step 6: Final answer
    x = 75.20

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.