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Finding the Third Proportional to 24,561.75 and 50,155.50

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Solution

The third proportional to 24,561.75 and 50,155.50 is: 102,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561.75 : 50,155.50 = 50,155.50 : x
  2. Step 2: Convert to fraction form
    24,561.75/50,155.50 = 50,155.50/x
  3. Step 3: Cross multiply
    24,561.75x = 50,155.50 × 50,155.50
  4. Step 4: Simplify right side
    24,561.75x = 2,515,574,180.25
  5. Step 5: Solve for x
    x = 2,515,574,180.25/24,561.75
  6. Step 6: Final answer
    x = 102,418.36

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.