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Finding the Third Proportional to 17,883 and 38,229

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Solution

The third proportional to 17,883 and 38,229 is: 81,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,883 : 38,229 = 38,229 : x
  2. Step 2: Convert to fraction form
    17,883/38,229 = 38,229/x
  3. Step 3: Cross multiply
    17,883x = 38,229 × 38,229
  4. Step 4: Simplify right side
    17,883x = 1,461,456,441
  5. Step 5: Solve for x
    x = 1,461,456,441/17,883
  6. Step 6: Final answer
    x = 81,723.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.