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Finding the Third Proportional to 3,020.25 and 6,393

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Solution

The third proportional to 3,020.25 and 6,393 is: 13,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.25 : 6,393 = 6,393 : x
  2. Step 2: Convert to fraction form
    3,020.25/6,393 = 6,393/x
  3. Step 3: Cross multiply
    3,020.25x = 6,393 × 6,393
  4. Step 4: Simplify right side
    3,020.25x = 40,870,449
  5. Step 5: Solve for x
    x = 40,870,449/3,020.25
  6. Step 6: Final answer
    x = 13,532.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.