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Finding the Third Proportional to 35,338.78 and 76,910.34

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Solution

The third proportional to 35,338.78 and 76,910.34 is: 167,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,338.78 : 76,910.34 = 76,910.34 : x
  2. Step 2: Convert to fraction form
    35,338.78/76,910.34 = 76,910.34/x
  3. Step 3: Cross multiply
    35,338.78x = 76,910.34 × 76,910.34
  4. Step 4: Simplify right side
    35,338.78x = 5,915,200,975.74
  5. Step 5: Solve for x
    x = 5,915,200,975.74/35,338.78
  6. Step 6: Final answer
    x = 167,385.54

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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.