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Finding the Third Proportional to 32,238.84 and 68,628.09

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Solution

The third proportional to 32,238.84 and 68,628.09 is: 146,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,238.84 : 68,628.09 = 68,628.09 : x
  2. Step 2: Convert to fraction form
    32,238.84/68,628.09 = 68,628.09/x
  3. Step 3: Cross multiply
    32,238.84x = 68,628.09 × 68,628.09
  4. Step 4: Simplify right side
    32,238.84x = 4,709,815,251.76
  5. Step 5: Solve for x
    x = 4,709,815,251.76/32,238.84
  6. Step 6: Final answer
    x = 146,091.32

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.