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Finding the Third Proportional to 6,847.31 and 14,718.94

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Solution

The third proportional to 6,847.31 and 14,718.94 is: 31,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.31 : 14,718.94 = 14,718.94 : x
  2. Step 2: Convert to fraction form
    6,847.31/14,718.94 = 14,718.94/x
  3. Step 3: Cross multiply
    6,847.31x = 14,718.94 × 14,718.94
  4. Step 4: Simplify right side
    6,847.31x = 216,647,121.13
  5. Step 5: Solve for x
    x = 216,647,121.13/6,847.31
  6. Step 6: Final answer
    x = 31,639.73

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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.