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Finding the Third Proportional to 6,309.56 and 8,046.84

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Solution

The third proportional to 6,309.56 and 8,046.84 is: 10,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.56 : 8,046.84 = 8,046.84 : x
  2. Step 2: Convert to fraction form
    6,309.56/8,046.84 = 8,046.84/x
  3. Step 3: Cross multiply
    6,309.56x = 8,046.84 × 8,046.84
  4. Step 4: Simplify right side
    6,309.56x = 64,751,694.34
  5. Step 5: Solve for x
    x = 64,751,694.34/6,309.56
  6. Step 6: Final answer
    x = 10,262.47

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.