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Finding the Third Proportional to 49,488 and 73,302

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Solution

The third proportional to 49,488 and 73,302 is: 108,575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,488 : 73,302 = 73,302 : x
  2. Step 2: Convert to fraction form
    49,488/73,302 = 73,302/x
  3. Step 3: Cross multiply
    49,488x = 73,302 × 73,302
  4. Step 4: Simplify right side
    49,488x = 5,373,183,204
  5. Step 5: Solve for x
    x = 5,373,183,204/49,488
  6. Step 6: Final answer
    x = 108,575.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.