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Finding the Third Proportional to 37,593 and 78,831

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Solution

The third proportional to 37,593 and 78,831 is: 165,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,593 : 78,831 = 78,831 : x
  2. Step 2: Convert to fraction form
    37,593/78,831 = 78,831/x
  3. Step 3: Cross multiply
    37,593x = 78,831 × 78,831
  4. Step 4: Simplify right side
    37,593x = 6,214,326,561
  5. Step 5: Solve for x
    x = 6,214,326,561/37,593
  6. Step 6: Final answer
    x = 165,305.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.