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Finding the Third Proportional to 24,114 and 50,073

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Solution

The third proportional to 24,114 and 50,073 is: 103,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114 : 50,073 = 50,073 : x
  2. Step 2: Convert to fraction form
    24,114/50,073 = 50,073/x
  3. Step 3: Cross multiply
    24,114x = 50,073 × 50,073
  4. Step 4: Simplify right side
    24,114x = 2,507,305,329
  5. Step 5: Solve for x
    x = 2,507,305,329/24,114
  6. Step 6: Final answer
    x = 103,977.16

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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.