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Finding the Third Proportional to 24,847.75 and 49,675

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Solution

The third proportional to 24,847.75 and 49,675 is: 99,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,847.75 : 49,675 = 49,675 : x
  2. Step 2: Convert to fraction form
    24,847.75/49,675 = 49,675/x
  3. Step 3: Cross multiply
    24,847.75x = 49,675 × 49,675
  4. Step 4: Simplify right side
    24,847.75x = 2,467,605,625
  5. Step 5: Solve for x
    x = 2,467,605,625/24,847.75
  6. Step 6: Final answer
    x = 99,309.02

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.