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Finding the Third Proportional to 33.50 and 49.19

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Solution

The third proportional to 33.50 and 49.19 is: 72.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.50 : 49.19 = 49.19 : x
  2. Step 2: Convert to fraction form
    33.50/49.19 = 49.19/x
  3. Step 3: Cross multiply
    33.50x = 49.19 × 49.19
  4. Step 4: Simplify right side
    33.50x = 2,419.41
  5. Step 5: Solve for x
    x = 2,419.41/33.50
  6. Step 6: Final answer
    x = 72.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.