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Finding the Third Proportional to 6,401.25 and 13,389.75

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Solution

The third proportional to 6,401.25 and 13,389.75 is: 28,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.25 : 13,389.75 = 13,389.75 : x
  2. Step 2: Convert to fraction form
    6,401.25/13,389.75 = 13,389.75/x
  3. Step 3: Cross multiply
    6,401.25x = 13,389.75 × 13,389.75
  4. Step 4: Simplify right side
    6,401.25x = 179,285,405.06
  5. Step 5: Solve for x
    x = 179,285,405.06/6,401.25
  6. Step 6: Final answer
    x = 28,007.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.