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Finding the Third Proportional to 21,656 and 33,924

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Solution

The third proportional to 21,656 and 33,924 is: 53,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,656 : 33,924 = 33,924 : x
  2. Step 2: Convert to fraction form
    21,656/33,924 = 33,924/x
  3. Step 3: Cross multiply
    21,656x = 33,924 × 33,924
  4. Step 4: Simplify right side
    21,656x = 1,150,837,776
  5. Step 5: Solve for x
    x = 1,150,837,776/21,656
  6. Step 6: Final answer
    x = 53,141.75

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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.