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Finding the Third Proportional to 3,206 and 6,924

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Solution

The third proportional to 3,206 and 6,924 is: 14,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206 : 6,924 = 6,924 : x
  2. Step 2: Convert to fraction form
    3,206/6,924 = 6,924/x
  3. Step 3: Cross multiply
    3,206x = 6,924 × 6,924
  4. Step 4: Simplify right side
    3,206x = 47,941,776
  5. Step 5: Solve for x
    x = 47,941,776/3,206
  6. Step 6: Final answer
    x = 14,953.77

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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.