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Finding the Third Proportional to 39,502.69 and 80,619.05

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Solution

The third proportional to 39,502.69 and 80,619.05 is: 164,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,502.69 : 80,619.05 = 80,619.05 : x
  2. Step 2: Convert to fraction form
    39,502.69/80,619.05 = 80,619.05/x
  3. Step 3: Cross multiply
    39,502.69x = 80,619.05 × 80,619.05
  4. Step 4: Simplify right side
    39,502.69x = 6,499,430,719.03
  5. Step 5: Solve for x
    x = 6,499,430,719.03/39,502.69
  6. Step 6: Final answer
    x = 164,531.36

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.