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Finding the Third Proportional to 37.38 and 49.48

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Solution

The third proportional to 37.38 and 49.48 is: 65.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.38 : 49.48 = 49.48 : x
  2. Step 2: Convert to fraction form
    37.38/49.48 = 49.48/x
  3. Step 3: Cross multiply
    37.38x = 49.48 × 49.48
  4. Step 4: Simplify right side
    37.38x = 2,448.08
  5. Step 5: Solve for x
    x = 2,448.08/37.38
  6. Step 6: Final answer
    x = 65.50

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.