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Finding the Third Proportional to 2,860.31 and 6,203.25

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Solution

The third proportional to 2,860.31 and 6,203.25 is: 13,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.31 : 6,203.25 = 6,203.25 : x
  2. Step 2: Convert to fraction form
    2,860.31/6,203.25 = 6,203.25/x
  3. Step 3: Cross multiply
    2,860.31x = 6,203.25 × 6,203.25
  4. Step 4: Simplify right side
    2,860.31x = 38,480,310.56
  5. Step 5: Solve for x
    x = 38,480,310.56/2,860.31
  6. Step 6: Final answer
    x = 13,453.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.