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Finding the Third Proportional to 5,891.06 and 12,684.94

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Solution

The third proportional to 5,891.06 and 12,684.94 is: 27,313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.06 : 12,684.94 = 12,684.94 : x
  2. Step 2: Convert to fraction form
    5,891.06/12,684.94 = 12,684.94/x
  3. Step 3: Cross multiply
    5,891.06x = 12,684.94 × 12,684.94
  4. Step 4: Simplify right side
    5,891.06x = 160,907,639.38
  5. Step 5: Solve for x
    x = 160,907,639.38/5,891.06
  6. Step 6: Final answer
    x = 27,313.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.