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Finding the Third Proportional to 17,233.50 and 26,357

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Solution

The third proportional to 17,233.50 and 26,357 is: 40,310.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,233.50 : 26,357 = 26,357 : x
  2. Step 2: Convert to fraction form
    17,233.50/26,357 = 26,357/x
  3. Step 3: Cross multiply
    17,233.50x = 26,357 × 26,357
  4. Step 4: Simplify right side
    17,233.50x = 694,691,449
  5. Step 5: Solve for x
    x = 694,691,449/17,233.50
  6. Step 6: Final answer
    x = 40,310.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.