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Finding the Third Proportional to 17,924 and 19,652

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Solution

The third proportional to 17,924 and 19,652 is: 21,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924 : 19,652 = 19,652 : x
  2. Step 2: Convert to fraction form
    17,924/19,652 = 19,652/x
  3. Step 3: Cross multiply
    17,924x = 19,652 × 19,652
  4. Step 4: Simplify right side
    17,924x = 386,201,104
  5. Step 5: Solve for x
    x = 386,201,104/17,924
  6. Step 6: Final answer
    x = 21,546.59

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.