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Finding the Third Proportional to 8.53 and 18.75

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Solution

The third proportional to 8.53 and 18.75 is: 41.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.53 : 18.75 = 18.75 : x
  2. Step 2: Convert to fraction form
    8.53/18.75 = 18.75/x
  3. Step 3: Cross multiply
    8.53x = 18.75 × 18.75
  4. Step 4: Simplify right side
    8.53x = 351.56
  5. Step 5: Solve for x
    x = 351.56/8.53
  6. Step 6: Final answer
    x = 41.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.