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Finding the Third Proportional to 37.50 and 49.88

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Solution

The third proportional to 37.50 and 49.88 is: 66.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.50 : 49.88 = 49.88 : x
  2. Step 2: Convert to fraction form
    37.50/49.88 = 49.88/x
  3. Step 3: Cross multiply
    37.50x = 49.88 × 49.88
  4. Step 4: Simplify right side
    37.50x = 2,487.52
  5. Step 5: Solve for x
    x = 2,487.52/37.50
  6. Step 6: Final answer
    x = 66.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.