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Finding the Third Proportional to 24,115 and 50,078

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Solution

The third proportional to 24,115 and 50,078 is: 103,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115 : 50,078 = 50,078 : x
  2. Step 2: Convert to fraction form
    24,115/50,078 = 50,078/x
  3. Step 3: Cross multiply
    24,115x = 50,078 × 50,078
  4. Step 4: Simplify right side
    24,115x = 2,507,806,084
  5. Step 5: Solve for x
    x = 2,507,806,084/24,115
  6. Step 6: Final answer
    x = 103,993.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.