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Finding the Third Proportional to 37,761.75 and 79,407

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Solution

The third proportional to 37,761.75 and 79,407 is: 166,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,761.75 : 79,407 = 79,407 : x
  2. Step 2: Convert to fraction form
    37,761.75/79,407 = 79,407/x
  3. Step 3: Cross multiply
    37,761.75x = 79,407 × 79,407
  4. Step 4: Simplify right side
    37,761.75x = 6,305,471,649
  5. Step 5: Solve for x
    x = 6,305,471,649/37,761.75
  6. Step 6: Final answer
    x = 166,980.39

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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.