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Finding the Third Proportional to 24,809 and 54,073

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Solution

The third proportional to 24,809 and 54,073 is: 117,855.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,809 : 54,073 = 54,073 : x
  2. Step 2: Convert to fraction form
    24,809/54,073 = 54,073/x
  3. Step 3: Cross multiply
    24,809x = 54,073 × 54,073
  4. Step 4: Simplify right side
    24,809x = 2,923,889,329
  5. Step 5: Solve for x
    x = 2,923,889,329/24,809
  6. Step 6: Final answer
    x = 117,855.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.