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Finding the Third Proportional to 16,759 and 41,321.50

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Solution

The third proportional to 16,759 and 41,321.50 is: 101,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,759 : 41,321.50 = 41,321.50 : x
  2. Step 2: Convert to fraction form
    16,759/41,321.50 = 41,321.50/x
  3. Step 3: Cross multiply
    16,759x = 41,321.50 × 41,321.50
  4. Step 4: Simplify right side
    16,759x = 1,707,466,362.25
  5. Step 5: Solve for x
    x = 1,707,466,362.25/16,759
  6. Step 6: Final answer
    x = 101,883.55

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.