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Finding the Third Proportional to 6,809.91 and 14,694.75

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Solution

The third proportional to 6,809.91 and 14,694.75 is: 31,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.91 : 14,694.75 = 14,694.75 : x
  2. Step 2: Convert to fraction form
    6,809.91/14,694.75 = 14,694.75/x
  3. Step 3: Cross multiply
    6,809.91x = 14,694.75 × 14,694.75
  4. Step 4: Simplify right side
    6,809.91x = 215,935,677.56
  5. Step 5: Solve for x
    x = 215,935,677.56/6,809.91
  6. Step 6: Final answer
    x = 31,709.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.