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Finding the Third Proportional to 24,876 and 33,777

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Solution

The third proportional to 24,876 and 33,777 is: 45,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876 : 33,777 = 33,777 : x
  2. Step 2: Convert to fraction form
    24,876/33,777 = 33,777/x
  3. Step 3: Cross multiply
    24,876x = 33,777 × 33,777
  4. Step 4: Simplify right side
    24,876x = 1,140,885,729
  5. Step 5: Solve for x
    x = 1,140,885,729/24,876
  6. Step 6: Final answer
    x = 45,862.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.