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Finding the Third Proportional to 6,280.25 and 13,206.75

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Solution

The third proportional to 6,280.25 and 13,206.75 is: 27,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.25 : 13,206.75 = 13,206.75 : x
  2. Step 2: Convert to fraction form
    6,280.25/13,206.75 = 13,206.75/x
  3. Step 3: Cross multiply
    6,280.25x = 13,206.75 × 13,206.75
  4. Step 4: Simplify right side
    6,280.25x = 174,418,245.56
  5. Step 5: Solve for x
    x = 174,418,245.56/6,280.25
  6. Step 6: Final answer
    x = 27,772.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.