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Finding the Third Proportional to 6,394 and 13,974

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Solution

The third proportional to 6,394 and 13,974 is: 30,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394 : 13,974 = 13,974 : x
  2. Step 2: Convert to fraction form
    6,394/13,974 = 13,974/x
  3. Step 3: Cross multiply
    6,394x = 13,974 × 13,974
  4. Step 4: Simplify right side
    6,394x = 195,272,676
  5. Step 5: Solve for x
    x = 195,272,676/6,394
  6. Step 6: Final answer
    x = 30,539.99

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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.