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Finding the Third Proportional to 37.51 and 50.41

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Solution

The third proportional to 37.51 and 50.41 is: 67.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.51 : 50.41 = 50.41 : x
  2. Step 2: Convert to fraction form
    37.51/50.41 = 50.41/x
  3. Step 3: Cross multiply
    37.51x = 50.41 × 50.41
  4. Step 4: Simplify right side
    37.51x = 2,541.58
  5. Step 5: Solve for x
    x = 2,541.58/37.51
  6. Step 6: Final answer
    x = 67.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.