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Finding the Third Proportional to 17,883.50 and 38,561

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Solution

The third proportional to 17,883.50 and 38,561 is: 83,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,883.50 : 38,561 = 38,561 : x
  2. Step 2: Convert to fraction form
    17,883.50/38,561 = 38,561/x
  3. Step 3: Cross multiply
    17,883.50x = 38,561 × 38,561
  4. Step 4: Simplify right side
    17,883.50x = 1,486,950,721
  5. Step 5: Solve for x
    x = 1,486,950,721/17,883.50
  6. Step 6: Final answer
    x = 83,146.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.