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Finding the Third Proportional to 19,876 and 44,126

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Solution

The third proportional to 19,876 and 44,126 is: 97,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876 : 44,126 = 44,126 : x
  2. Step 2: Convert to fraction form
    19,876/44,126 = 44,126/x
  3. Step 3: Cross multiply
    19,876x = 44,126 × 44,126
  4. Step 4: Simplify right side
    19,876x = 1,947,103,876
  5. Step 5: Solve for x
    x = 1,947,103,876/19,876
  6. Step 6: Final answer
    x = 97,962.56

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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.