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Finding the Third Proportional to 24,119 and 50,086

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Solution

The third proportional to 24,119 and 50,086 is: 104,009.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,119 : 50,086 = 50,086 : x
  2. Step 2: Convert to fraction form
    24,119/50,086 = 50,086/x
  3. Step 3: Cross multiply
    24,119x = 50,086 × 50,086
  4. Step 4: Simplify right side
    24,119x = 2,508,607,396
  5. Step 5: Solve for x
    x = 2,508,607,396/24,119
  6. Step 6: Final answer
    x = 104,009.59

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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.