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Finding the Third Proportional to 6,165.94 and 8,724.75

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Solution

The third proportional to 6,165.94 and 8,724.75 is: 12,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.94 : 8,724.75 = 8,724.75 : x
  2. Step 2: Convert to fraction form
    6,165.94/8,724.75 = 8,724.75/x
  3. Step 3: Cross multiply
    6,165.94x = 8,724.75 × 8,724.75
  4. Step 4: Simplify right side
    6,165.94x = 76,121,262.56
  5. Step 5: Solve for x
    x = 76,121,262.56/6,165.94
  6. Step 6: Final answer
    x = 12,345.45

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