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Finding the Third Proportional to 20,342 and 43,924

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Solution

The third proportional to 20,342 and 43,924 is: 94,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342 : 43,924 = 43,924 : x
  2. Step 2: Convert to fraction form
    20,342/43,924 = 43,924/x
  3. Step 3: Cross multiply
    20,342x = 43,924 × 43,924
  4. Step 4: Simplify right side
    20,342x = 1,929,317,776
  5. Step 5: Solve for x
    x = 1,929,317,776/20,342
  6. Step 6: Final answer
    x = 94,844.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.