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Finding the Third Proportional to 2,188 and 5,694

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Solution

The third proportional to 2,188 and 5,694 is: 14,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188 : 5,694 = 5,694 : x
  2. Step 2: Convert to fraction form
    2,188/5,694 = 5,694/x
  3. Step 3: Cross multiply
    2,188x = 5,694 × 5,694
  4. Step 4: Simplify right side
    2,188x = 32,421,636
  5. Step 5: Solve for x
    x = 32,421,636/2,188
  6. Step 6: Final answer
    x = 14,817.93

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.