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Finding the Third Proportional to 19,924 and 27,923

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Solution

The third proportional to 19,924 and 27,923 is: 39,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,924 : 27,923 = 27,923 : x
  2. Step 2: Convert to fraction form
    19,924/27,923 = 27,923/x
  3. Step 3: Cross multiply
    19,924x = 27,923 × 27,923
  4. Step 4: Simplify right side
    19,924x = 779,693,929
  5. Step 5: Solve for x
    x = 779,693,929/19,924
  6. Step 6: Final answer
    x = 39,133.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.