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Finding the Third Proportional to 24,131.25 and 50,449.50

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Solution

The third proportional to 24,131.25 and 50,449.50 is: 105,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,131.25 : 50,449.50 = 50,449.50 : x
  2. Step 2: Convert to fraction form
    24,131.25/50,449.50 = 50,449.50/x
  3. Step 3: Cross multiply
    24,131.25x = 50,449.50 × 50,449.50
  4. Step 4: Simplify right side
    24,131.25x = 2,545,152,050.25
  5. Step 5: Solve for x
    x = 2,545,152,050.25/24,131.25
  6. Step 6: Final answer
    x = 105,471.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.