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Finding the Third Proportional to 6,194.25 and 9,563.63

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Solution

The third proportional to 6,194.25 and 9,563.63 is: 14,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.25 : 9,563.63 = 9,563.63 : x
  2. Step 2: Convert to fraction form
    6,194.25/9,563.63 = 9,563.63/x
  3. Step 3: Cross multiply
    6,194.25x = 9,563.63 × 9,563.63
  4. Step 4: Simplify right side
    6,194.25x = 91,462,923.14
  5. Step 5: Solve for x
    x = 91,462,923.14/6,194.25
  6. Step 6: Final answer
    x = 14,765.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.