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Finding the Third Proportional to 37,365.05 and 81,291.09

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Solution

The third proportional to 37,365.05 and 81,291.09 is: 176,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,365.05 : 81,291.09 = 81,291.09 : x
  2. Step 2: Convert to fraction form
    37,365.05/81,291.09 = 81,291.09/x
  3. Step 3: Cross multiply
    37,365.05x = 81,291.09 × 81,291.09
  4. Step 4: Simplify right side
    37,365.05x = 6,608,241,923.07
  5. Step 5: Solve for x
    x = 6,608,241,923.07/37,365.05
  6. Step 6: Final answer
    x = 176,856.25

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