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Finding the Third Proportional to 24,119 and 50,085

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Solution

The third proportional to 24,119 and 50,085 is: 104,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,119 : 50,085 = 50,085 : x
  2. Step 2: Convert to fraction form
    24,119/50,085 = 50,085/x
  3. Step 3: Cross multiply
    24,119x = 50,085 × 50,085
  4. Step 4: Simplify right side
    24,119x = 2,508,507,225
  5. Step 5: Solve for x
    x = 2,508,507,225/24,119
  6. Step 6: Final answer
    x = 104,005.44

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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.