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Finding the Third Proportional to 11,431 and 17,269

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Solution

The third proportional to 11,431 and 17,269 is: 26,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431 : 17,269 = 17,269 : x
  2. Step 2: Convert to fraction form
    11,431/17,269 = 17,269/x
  3. Step 3: Cross multiply
    11,431x = 17,269 × 17,269
  4. Step 4: Simplify right side
    11,431x = 298,218,361
  5. Step 5: Solve for x
    x = 298,218,361/11,431
  6. Step 6: Final answer
    x = 26,088.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.