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Finding the Third Proportional to 6,391 and 13,754

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Solution

The third proportional to 6,391 and 13,754 is: 29,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391 : 13,754 = 13,754 : x
  2. Step 2: Convert to fraction form
    6,391/13,754 = 13,754/x
  3. Step 3: Cross multiply
    6,391x = 13,754 × 13,754
  4. Step 4: Simplify right side
    6,391x = 189,172,516
  5. Step 5: Solve for x
    x = 189,172,516/6,391
  6. Step 6: Final answer
    x = 29,599.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.