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Finding the Third Proportional to 5,694 and 12,477

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Solution

The third proportional to 5,694 and 12,477 is: 27,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694 : 12,477 = 12,477 : x
  2. Step 2: Convert to fraction form
    5,694/12,477 = 12,477/x
  3. Step 3: Cross multiply
    5,694x = 12,477 × 12,477
  4. Step 4: Simplify right side
    5,694x = 155,675,529
  5. Step 5: Solve for x
    x = 155,675,529/5,694
  6. Step 6: Final answer
    x = 27,340.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.