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Finding the Third Proportional to 33,964.63 and 79,917.38

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Solution

The third proportional to 33,964.63 and 79,917.38 is: 188,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,964.63 : 79,917.38 = 79,917.38 : x
  2. Step 2: Convert to fraction form
    33,964.63/79,917.38 = 79,917.38/x
  3. Step 3: Cross multiply
    33,964.63x = 79,917.38 × 79,917.38
  4. Step 4: Simplify right side
    33,964.63x = 6,386,786,826.89
  5. Step 5: Solve for x
    x = 6,386,786,826.89/33,964.63
  6. Step 6: Final answer
    x = 188,042.32

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.