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Finding the Third Proportional to 2,192 and 5,291

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Solution

The third proportional to 2,192 and 5,291 is: 12,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192 : 5,291 = 5,291 : x
  2. Step 2: Convert to fraction form
    2,192/5,291 = 5,291/x
  3. Step 3: Cross multiply
    2,192x = 5,291 × 5,291
  4. Step 4: Simplify right side
    2,192x = 27,994,681
  5. Step 5: Solve for x
    x = 27,994,681/2,192
  6. Step 6: Final answer
    x = 12,771.30

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.