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Finding the Third Proportional to 37 and 72.38

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Solution

The third proportional to 37 and 72.38 is: 141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37 : 72.38 = 72.38 : x
  2. Step 2: Convert to fraction form
    37/72.38 = 72.38/x
  3. Step 3: Cross multiply
    37x = 72.38 × 72.38
  4. Step 4: Simplify right side
    37x = 5,238.14
  5. Step 5: Solve for x
    x = 5,238.14/37
  6. Step 6: Final answer
    x = 141.57

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.