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Finding the Third Proportional to 24,832 and 54,031

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Solution

The third proportional to 24,832 and 54,031 is: 117,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832 : 54,031 = 54,031 : x
  2. Step 2: Convert to fraction form
    24,832/54,031 = 54,031/x
  3. Step 3: Cross multiply
    24,832x = 54,031 × 54,031
  4. Step 4: Simplify right side
    24,832x = 2,919,348,961
  5. Step 5: Solve for x
    x = 2,919,348,961/24,832
  6. Step 6: Final answer
    x = 117,563.99

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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.