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Finding the Third Proportional to 6,250.25 and 13,203.25

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Solution

The third proportional to 6,250.25 and 13,203.25 is: 27,891.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,250.25 : 13,203.25 = 13,203.25 : x
  2. Step 2: Convert to fraction form
    6,250.25/13,203.25 = 13,203.25/x
  3. Step 3: Cross multiply
    6,250.25x = 13,203.25 × 13,203.25
  4. Step 4: Simplify right side
    6,250.25x = 174,325,810.56
  5. Step 5: Solve for x
    x = 174,325,810.56/6,250.25
  6. Step 6: Final answer
    x = 27,891.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.