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Finding the Third Proportional to 6,091 and 13,367

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Solution

The third proportional to 6,091 and 13,367 is: 29,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091 : 13,367 = 13,367 : x
  2. Step 2: Convert to fraction form
    6,091/13,367 = 13,367/x
  3. Step 3: Cross multiply
    6,091x = 13,367 × 13,367
  4. Step 4: Simplify right side
    6,091x = 178,676,689
  5. Step 5: Solve for x
    x = 178,676,689/6,091
  6. Step 6: Final answer
    x = 29,334.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.