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Finding the Third Proportional to 31,212.84 and 68,639.91

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Solution

The third proportional to 31,212.84 and 68,639.91 is: 150,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,212.84 : 68,639.91 = 68,639.91 : x
  2. Step 2: Convert to fraction form
    31,212.84/68,639.91 = 68,639.91/x
  3. Step 3: Cross multiply
    31,212.84x = 68,639.91 × 68,639.91
  4. Step 4: Simplify right side
    31,212.84x = 4,711,436,730.01
  5. Step 5: Solve for x
    x = 4,711,436,730.01/31,212.84
  6. Step 6: Final answer
    x = 150,945.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.