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Finding the Third Proportional to 38,827.79 and 80,133.05

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Solution

The third proportional to 38,827.79 and 80,133.05 is: 165,379.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,827.79 : 80,133.05 = 80,133.05 : x
  2. Step 2: Convert to fraction form
    38,827.79/80,133.05 = 80,133.05/x
  3. Step 3: Cross multiply
    38,827.79x = 80,133.05 × 80,133.05
  4. Step 4: Simplify right side
    38,827.79x = 6,421,305,201.47
  5. Step 5: Solve for x
    x = 6,421,305,201.47/38,827.79
  6. Step 6: Final answer
    x = 165,379.09

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.