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Finding the Third Proportional to 6,964.31 and 10,448.16

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Solution

The third proportional to 6,964.31 and 10,448.16 is: 15,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.31 : 10,448.16 = 10,448.16 : x
  2. Step 2: Convert to fraction form
    6,964.31/10,448.16 = 10,448.16/x
  3. Step 3: Cross multiply
    6,964.31x = 10,448.16 × 10,448.16
  4. Step 4: Simplify right side
    6,964.31x = 109,163,969.02
  5. Step 5: Solve for x
    x = 109,163,969.02/6,964.31
  6. Step 6: Final answer
    x = 15,674.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.