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Finding the Third Proportional to 24,131.25 and 56,382.75

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Solution

The third proportional to 24,131.25 and 56,382.75 is: 131,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,131.25 : 56,382.75 = 56,382.75 : x
  2. Step 2: Convert to fraction form
    24,131.25/56,382.75 = 56,382.75/x
  3. Step 3: Cross multiply
    24,131.25x = 56,382.75 × 56,382.75
  4. Step 4: Simplify right side
    24,131.25x = 3,179,014,497.56
  5. Step 5: Solve for x
    x = 3,179,014,497.56/24,131.25
  6. Step 6: Final answer
    x = 131,738.49

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.