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Finding the Third Proportional to 33.29 and 48.99

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Solution

The third proportional to 33.29 and 48.99 is: 72.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.29 : 48.99 = 48.99 : x
  2. Step 2: Convert to fraction form
    33.29/48.99 = 48.99/x
  3. Step 3: Cross multiply
    33.29x = 48.99 × 48.99
  4. Step 4: Simplify right side
    33.29x = 2,399.72
  5. Step 5: Solve for x
    x = 2,399.72/33.29
  6. Step 6: Final answer
    x = 72.08

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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.