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Finding the Third Proportional to 37,227.94 and 81,015.19

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Solution

The third proportional to 37,227.94 and 81,015.19 is: 176,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,227.94 : 81,015.19 = 81,015.19 : x
  2. Step 2: Convert to fraction form
    37,227.94/81,015.19 = 81,015.19/x
  3. Step 3: Cross multiply
    37,227.94x = 81,015.19 × 81,015.19
  4. Step 4: Simplify right side
    37,227.94x = 6,563,460,605.66
  5. Step 5: Solve for x
    x = 6,563,460,605.66/37,227.94
  6. Step 6: Final answer
    x = 176,304.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.