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Finding the Third Proportional to 7,794.56 and 16,724.81

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Solution

The third proportional to 7,794.56 and 16,724.81 is: 35,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.56 : 16,724.81 = 16,724.81 : x
  2. Step 2: Convert to fraction form
    7,794.56/16,724.81 = 16,724.81/x
  3. Step 3: Cross multiply
    7,794.56x = 16,724.81 × 16,724.81
  4. Step 4: Simplify right side
    7,794.56x = 279,719,353.16
  5. Step 5: Solve for x
    x = 279,719,353.16/7,794.56
  6. Step 6: Final answer
    x = 35,886.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.