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Finding the Third Proportional to 9,694 and 14,809

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Solution

The third proportional to 9,694 and 14,809 is: 22,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694 : 14,809 = 14,809 : x
  2. Step 2: Convert to fraction form
    9,694/14,809 = 14,809/x
  3. Step 3: Cross multiply
    9,694x = 14,809 × 14,809
  4. Step 4: Simplify right side
    9,694x = 219,306,481
  5. Step 5: Solve for x
    x = 219,306,481/9,694
  6. Step 6: Final answer
    x = 22,622.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.