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Finding the Third Proportional to 19,596 and 27,924

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Solution

The third proportional to 19,596 and 27,924 is: 39,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,596 : 27,924 = 27,924 : x
  2. Step 2: Convert to fraction form
    19,596/27,924 = 27,924/x
  3. Step 3: Cross multiply
    19,596x = 27,924 × 27,924
  4. Step 4: Simplify right side
    19,596x = 779,749,776
  5. Step 5: Solve for x
    x = 779,749,776/19,596
  6. Step 6: Final answer
    x = 39,791.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.