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Finding the Third Proportional to 6,383.81 and 8,593.59

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Solution

The third proportional to 6,383.81 and 8,593.59 is: 11,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.81 : 8,593.59 = 8,593.59 : x
  2. Step 2: Convert to fraction form
    6,383.81/8,593.59 = 8,593.59/x
  3. Step 3: Cross multiply
    6,383.81x = 8,593.59 × 8,593.59
  4. Step 4: Simplify right side
    6,383.81x = 73,849,853.54
  5. Step 5: Solve for x
    x = 73,849,853.54/6,383.81
  6. Step 6: Final answer
    x = 11,568.30

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.