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Finding the Third Proportional to 5,016.94 and 8,935.31

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Solution

The third proportional to 5,016.94 and 8,935.31 is: 15,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,016.94 : 8,935.31 = 8,935.31 : x
  2. Step 2: Convert to fraction form
    5,016.94/8,935.31 = 8,935.31/x
  3. Step 3: Cross multiply
    5,016.94x = 8,935.31 × 8,935.31
  4. Step 4: Simplify right side
    5,016.94x = 79,839,809.47
  5. Step 5: Solve for x
    x = 79,839,809.47/5,016.94
  6. Step 6: Final answer
    x = 15,914.05

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.