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Finding the Third Proportional to 17,327 and 40,424

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Solution

The third proportional to 17,327 and 40,424 is: 94,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,327 : 40,424 = 40,424 : x
  2. Step 2: Convert to fraction form
    17,327/40,424 = 40,424/x
  3. Step 3: Cross multiply
    17,327x = 40,424 × 40,424
  4. Step 4: Simplify right side
    17,327x = 1,634,099,776
  5. Step 5: Solve for x
    x = 1,634,099,776/17,327
  6. Step 6: Final answer
    x = 94,309.45

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.