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Finding the Third Proportional to 6,847.03 and 9,444.73

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Solution

The third proportional to 6,847.03 and 9,444.73 is: 13,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.03 : 9,444.73 = 9,444.73 : x
  2. Step 2: Convert to fraction form
    6,847.03/9,444.73 = 9,444.73/x
  3. Step 3: Cross multiply
    6,847.03x = 9,444.73 × 9,444.73
  4. Step 4: Simplify right side
    6,847.03x = 89,202,859.84
  5. Step 5: Solve for x
    x = 89,202,859.84/6,847.03
  6. Step 6: Final answer
    x = 13,027.96

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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.