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Finding the Third Proportional to 48 and 60.38

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Solution

The third proportional to 48 and 60.38 is: 75.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48 : 60.38 = 60.38 : x
  2. Step 2: Convert to fraction form
    48/60.38 = 60.38/x
  3. Step 3: Cross multiply
    48x = 60.38 × 60.38
  4. Step 4: Simplify right side
    48x = 3,645.14
  5. Step 5: Solve for x
    x = 3,645.14/48
  6. Step 6: Final answer
    x = 75.94

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.