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Finding the Third Proportional to 24,731 and 54,799

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Solution

The third proportional to 24,731 and 54,799 is: 121,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731 : 54,799 = 54,799 : x
  2. Step 2: Convert to fraction form
    24,731/54,799 = 54,799/x
  3. Step 3: Cross multiply
    24,731x = 54,799 × 54,799
  4. Step 4: Simplify right side
    24,731x = 3,002,930,401
  5. Step 5: Solve for x
    x = 3,002,930,401/24,731
  6. Step 6: Final answer
    x = 121,423.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.