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Finding the Third Proportional to 18.75 and 46.22

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Solution

The third proportional to 18.75 and 46.22 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.75 : 46.22 = 46.22 : x
  2. Step 2: Convert to fraction form
    18.75/46.22 = 46.22/x
  3. Step 3: Cross multiply
    18.75x = 46.22 × 46.22
  4. Step 4: Simplify right side
    18.75x = 2,136.17
  5. Step 5: Solve for x
    x = 2,136.17/18.75
  6. Step 6: Final answer
    x = 113.93

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.