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Finding the Third Proportional to 6,399.84 and 14,065.31

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Solution

The third proportional to 6,399.84 and 14,065.31 is: 30,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.84 : 14,065.31 = 14,065.31 : x
  2. Step 2: Convert to fraction form
    6,399.84/14,065.31 = 14,065.31/x
  3. Step 3: Cross multiply
    6,399.84x = 14,065.31 × 14,065.31
  4. Step 4: Simplify right side
    6,399.84x = 197,833,015.72
  5. Step 5: Solve for x
    x = 197,833,015.72/6,399.84
  6. Step 6: Final answer
    x = 30,912.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.