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Finding the Third Proportional to 36,952.94 and 81,059.38

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Solution

The third proportional to 36,952.94 and 81,059.38 is: 177,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,952.94 : 81,059.38 = 81,059.38 : x
  2. Step 2: Convert to fraction form
    36,952.94/81,059.38 = 81,059.38/x
  3. Step 3: Cross multiply
    36,952.94x = 81,059.38 × 81,059.38
  4. Step 4: Simplify right side
    36,952.94x = 6,570,622,275.39
  5. Step 5: Solve for x
    x = 6,570,622,275.39/36,952.94
  6. Step 6: Final answer
    x = 177,810.55

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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.