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Finding the Third Proportional to 37.69 and 60.19

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Solution

The third proportional to 37.69 and 60.19 is: 96.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.69 : 60.19 = 60.19 : x
  2. Step 2: Convert to fraction form
    37.69/60.19 = 60.19/x
  3. Step 3: Cross multiply
    37.69x = 60.19 × 60.19
  4. Step 4: Simplify right side
    37.69x = 3,622.54
  5. Step 5: Solve for x
    x = 3,622.54/37.69
  6. Step 6: Final answer
    x = 96.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.