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Finding the Third Proportional to 3,140 and 6,199

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Solution

The third proportional to 3,140 and 6,199 is: 12,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140 : 6,199 = 6,199 : x
  2. Step 2: Convert to fraction form
    3,140/6,199 = 6,199/x
  3. Step 3: Cross multiply
    3,140x = 6,199 × 6,199
  4. Step 4: Simplify right side
    3,140x = 38,427,601
  5. Step 5: Solve for x
    x = 38,427,601/3,140
  6. Step 6: Final answer
    x = 12,238.09

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.