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Finding the Third Proportional to 6,401.53 and 13,964.91

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Solution

The third proportional to 6,401.53 and 13,964.91 is: 30,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.53 : 13,964.91 = 13,964.91 : x
  2. Step 2: Convert to fraction form
    6,401.53/13,964.91 = 13,964.91/x
  3. Step 3: Cross multiply
    6,401.53x = 13,964.91 × 13,964.91
  4. Step 4: Simplify right side
    6,401.53x = 195,018,606.57
  5. Step 5: Solve for x
    x = 195,018,606.57/6,401.53
  6. Step 6: Final answer
    x = 30,464.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.