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Finding the Third Proportional to 33,172 and 48,785

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Solution

The third proportional to 33,172 and 48,785 is: 71,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,172 : 48,785 = 48,785 : x
  2. Step 2: Convert to fraction form
    33,172/48,785 = 48,785/x
  3. Step 3: Cross multiply
    33,172x = 48,785 × 48,785
  4. Step 4: Simplify right side
    33,172x = 2,379,976,225
  5. Step 5: Solve for x
    x = 2,379,976,225/33,172
  6. Step 6: Final answer
    x = 71,746.54

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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.