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Finding the Third Proportional to 6,113 and 13,199

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Solution

The third proportional to 6,113 and 13,199 is: 28,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113 : 13,199 = 13,199 : x
  2. Step 2: Convert to fraction form
    6,113/13,199 = 13,199/x
  3. Step 3: Cross multiply
    6,113x = 13,199 × 13,199
  4. Step 4: Simplify right side
    6,113x = 174,213,601
  5. Step 5: Solve for x
    x = 174,213,601/6,113
  6. Step 6: Final answer
    x = 28,498.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.