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Finding the Third Proportional to 37,845 and 79,971.75

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Solution

The third proportional to 37,845 and 79,971.75 is: 168,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,845 : 79,971.75 = 79,971.75 : x
  2. Step 2: Convert to fraction form
    37,845/79,971.75 = 79,971.75/x
  3. Step 3: Cross multiply
    37,845x = 79,971.75 × 79,971.75
  4. Step 4: Simplify right side
    37,845x = 6,395,480,798.06
  5. Step 5: Solve for x
    x = 6,395,480,798.06/37,845
  6. Step 6: Final answer
    x = 168,991.43

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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.