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Finding the Third Proportional to 6,966 and 9,819.56

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Solution

The third proportional to 6,966 and 9,819.56 is: 13,842.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966 : 9,819.56 = 9,819.56 : x
  2. Step 2: Convert to fraction form
    6,966/9,819.56 = 9,819.56/x
  3. Step 3: Cross multiply
    6,966x = 9,819.56 × 9,819.56
  4. Step 4: Simplify right side
    6,966x = 96,423,807.69
  5. Step 5: Solve for x
    x = 96,423,807.69/6,966
  6. Step 6: Final answer
    x = 13,842.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.