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Finding the Third Proportional to 2,631.94 and 5,706.56

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Solution

The third proportional to 2,631.94 and 5,706.56 is: 12,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.94 : 5,706.56 = 5,706.56 : x
  2. Step 2: Convert to fraction form
    2,631.94/5,706.56 = 5,706.56/x
  3. Step 3: Cross multiply
    2,631.94x = 5,706.56 × 5,706.56
  4. Step 4: Simplify right side
    2,631.94x = 32,564,855.57
  5. Step 5: Solve for x
    x = 32,564,855.57/2,631.94
  6. Step 6: Final answer
    x = 12,372.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.