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Finding the Third Proportional to 3,388 and 6,942

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Solution

The third proportional to 3,388 and 6,942 is: 14,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388 : 6,942 = 6,942 : x
  2. Step 2: Convert to fraction form
    3,388/6,942 = 6,942/x
  3. Step 3: Cross multiply
    3,388x = 6,942 × 6,942
  4. Step 4: Simplify right side
    3,388x = 48,191,364
  5. Step 5: Solve for x
    x = 48,191,364/3,388
  6. Step 6: Final answer
    x = 14,224.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.