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Finding the Third Proportional to 27,903 and 43,314

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Solution

The third proportional to 27,903 and 43,314 is: 67,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,903 : 43,314 = 43,314 : x
  2. Step 2: Convert to fraction form
    27,903/43,314 = 43,314/x
  3. Step 3: Cross multiply
    27,903x = 43,314 × 43,314
  4. Step 4: Simplify right side
    27,903x = 1,876,102,596
  5. Step 5: Solve for x
    x = 1,876,102,596/27,903
  6. Step 6: Final answer
    x = 67,236.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.