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Finding the Third Proportional to 35,337.09 and 76,906.97

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Solution

The third proportional to 35,337.09 and 76,906.97 is: 167,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,337.09 : 76,906.97 = 76,906.97 : x
  2. Step 2: Convert to fraction form
    35,337.09/76,906.97 = 76,906.97/x
  3. Step 3: Cross multiply
    35,337.09x = 76,906.97 × 76,906.97
  4. Step 4: Simplify right side
    35,337.09x = 5,914,681,842.31
  5. Step 5: Solve for x
    x = 5,914,681,842.31/35,337.09
  6. Step 6: Final answer
    x = 167,378.84

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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.