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Finding the Third Proportional to 12,665 and 27,477

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Solution

The third proportional to 12,665 and 27,477 is: 59,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665 : 27,477 = 27,477 : x
  2. Step 2: Convert to fraction form
    12,665/27,477 = 27,477/x
  3. Step 3: Cross multiply
    12,665x = 27,477 × 27,477
  4. Step 4: Simplify right side
    12,665x = 754,985,529
  5. Step 5: Solve for x
    x = 754,985,529/12,665
  6. Step 6: Final answer
    x = 59,611.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.