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Finding the Third Proportional to 6,906.09 and 9,204.89

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Solution

The third proportional to 6,906.09 and 9,204.89 is: 12,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.09 : 9,204.89 = 9,204.89 : x
  2. Step 2: Convert to fraction form
    6,906.09/9,204.89 = 9,204.89/x
  3. Step 3: Cross multiply
    6,906.09x = 9,204.89 × 9,204.89
  4. Step 4: Simplify right side
    6,906.09x = 84,730,011.42
  5. Step 5: Solve for x
    x = 84,730,011.42/6,906.09
  6. Step 6: Final answer
    x = 12,268.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.