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Finding the Third Proportional to 36,973.97 and 80,850.66

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Solution

The third proportional to 36,973.97 and 80,850.66 is: 176,795.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,973.97 : 80,850.66 = 80,850.66 : x
  2. Step 2: Convert to fraction form
    36,973.97/80,850.66 = 80,850.66/x
  3. Step 3: Cross multiply
    36,973.97x = 80,850.66 × 80,850.66
  4. Step 4: Simplify right side
    36,973.97x = 6,536,828,616.06
  5. Step 5: Solve for x
    x = 6,536,828,616.06/36,973.97
  6. Step 6: Final answer
    x = 176,795.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.