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Finding the Third Proportional to 19,753 and 41,831

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Solution

The third proportional to 19,753 and 41,831 is: 88,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,753 : 41,831 = 41,831 : x
  2. Step 2: Convert to fraction form
    19,753/41,831 = 41,831/x
  3. Step 3: Cross multiply
    19,753x = 41,831 × 41,831
  4. Step 4: Simplify right side
    19,753x = 1,749,832,561
  5. Step 5: Solve for x
    x = 1,749,832,561/19,753
  6. Step 6: Final answer
    x = 88,585.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.