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Finding the Third Proportional to 10,251 and 16,739.25

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Solution

The third proportional to 10,251 and 16,739.25 is: 27,334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251 : 16,739.25 = 16,739.25 : x
  2. Step 2: Convert to fraction form
    10,251/16,739.25 = 16,739.25/x
  3. Step 3: Cross multiply
    10,251x = 16,739.25 × 16,739.25
  4. Step 4: Simplify right side
    10,251x = 280,202,490.56
  5. Step 5: Solve for x
    x = 280,202,490.56/10,251
  6. Step 6: Final answer
    x = 27,334.16

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.