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Finding the Third Proportional to 6,703 and 14,327

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Solution

The third proportional to 6,703 and 14,327 is: 30,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703 : 14,327 = 14,327 : x
  2. Step 2: Convert to fraction form
    6,703/14,327 = 14,327/x
  3. Step 3: Cross multiply
    6,703x = 14,327 × 14,327
  4. Step 4: Simplify right side
    6,703x = 205,262,929
  5. Step 5: Solve for x
    x = 205,262,929/6,703
  6. Step 6: Final answer
    x = 30,622.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.