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Finding the Third Proportional to 11,857 and 17,298

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Solution

The third proportional to 11,857 and 17,298 is: 25,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857 : 17,298 = 17,298 : x
  2. Step 2: Convert to fraction form
    11,857/17,298 = 17,298/x
  3. Step 3: Cross multiply
    11,857x = 17,298 × 17,298
  4. Step 4: Simplify right side
    11,857x = 299,220,804
  5. Step 5: Solve for x
    x = 299,220,804/11,857
  6. Step 6: Final answer
    x = 25,235.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.