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Finding the Third Proportional to 8,694 and 14,301

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Solution

The third proportional to 8,694 and 14,301 is: 23,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694 : 14,301 = 14,301 : x
  2. Step 2: Convert to fraction form
    8,694/14,301 = 14,301/x
  3. Step 3: Cross multiply
    8,694x = 14,301 × 14,301
  4. Step 4: Simplify right side
    8,694x = 204,518,601
  5. Step 5: Solve for x
    x = 204,518,601/8,694
  6. Step 6: Final answer
    x = 23,524.11

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.