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Finding the Third Proportional to 33,801.19 and 78,247.69

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Solution

The third proportional to 33,801.19 and 78,247.69 is: 181,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,801.19 : 78,247.69 = 78,247.69 : x
  2. Step 2: Convert to fraction form
    33,801.19/78,247.69 = 78,247.69/x
  3. Step 3: Cross multiply
    33,801.19x = 78,247.69 × 78,247.69
  4. Step 4: Simplify right side
    33,801.19x = 6,122,700,599.10
  5. Step 5: Solve for x
    x = 6,122,700,599.10/33,801.19
  6. Step 6: Final answer
    x = 181,138.62

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.