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Finding the Third Proportional to 4.50 and 12.38

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Solution

The third proportional to 4.50 and 12.38 is: 34.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.50 : 12.38 = 12.38 : x
  2. Step 2: Convert to fraction form
    4.50/12.38 = 12.38/x
  3. Step 3: Cross multiply
    4.50x = 12.38 × 12.38
  4. Step 4: Simplify right side
    4.50x = 153.14
  5. Step 5: Solve for x
    x = 153.14/4.50
  6. Step 6: Final answer
    x = 34.03

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.