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Finding the Third Proportional to 19,481 and 27,762

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Solution

The third proportional to 19,481 and 27,762 is: 39,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,481 : 27,762 = 27,762 : x
  2. Step 2: Convert to fraction form
    19,481/27,762 = 27,762/x
  3. Step 3: Cross multiply
    19,481x = 27,762 × 27,762
  4. Step 4: Simplify right side
    19,481x = 770,728,644
  5. Step 5: Solve for x
    x = 770,728,644/19,481
  6. Step 6: Final answer
    x = 39,563.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.