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Finding the Third Proportional to 37,939 and 81,494

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Solution

The third proportional to 37,939 and 81,494 is: 175,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,939 : 81,494 = 81,494 : x
  2. Step 2: Convert to fraction form
    37,939/81,494 = 81,494/x
  3. Step 3: Cross multiply
    37,939x = 81,494 × 81,494
  4. Step 4: Simplify right side
    37,939x = 6,641,272,036
  5. Step 5: Solve for x
    x = 6,641,272,036/37,939
  6. Step 6: Final answer
    x = 175,051.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.