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Finding the Third Proportional to 8,208.84 and 11,310.89

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Solution

The third proportional to 8,208.84 and 11,310.89 is: 15,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.84 : 11,310.89 = 11,310.89 : x
  2. Step 2: Convert to fraction form
    8,208.84/11,310.89 = 11,310.89/x
  3. Step 3: Cross multiply
    8,208.84x = 11,310.89 × 11,310.89
  4. Step 4: Simplify right side
    8,208.84x = 127,936,246.73
  5. Step 5: Solve for x
    x = 127,936,246.73/8,208.84
  6. Step 6: Final answer
    x = 15,585.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.