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Finding the Third Proportional to 37,393 and 79,006

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Solution

The third proportional to 37,393 and 79,006 is: 166,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,393 : 79,006 = 79,006 : x
  2. Step 2: Convert to fraction form
    37,393/79,006 = 79,006/x
  3. Step 3: Cross multiply
    37,393x = 79,006 × 79,006
  4. Step 4: Simplify right side
    37,393x = 6,241,948,036
  5. Step 5: Solve for x
    x = 6,241,948,036/37,393
  6. Step 6: Final answer
    x = 166,928.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.