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Finding the Third Proportional to 17,738 and 27,831

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Solution

The third proportional to 17,738 and 27,831 is: 43,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738 : 27,831 = 27,831 : x
  2. Step 2: Convert to fraction form
    17,738/27,831 = 27,831/x
  3. Step 3: Cross multiply
    17,738x = 27,831 × 27,831
  4. Step 4: Simplify right side
    17,738x = 774,564,561
  5. Step 5: Solve for x
    x = 774,564,561/17,738
  6. Step 6: Final answer
    x = 43,666.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.