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Finding the Third Proportional to 33,924 and 73,575

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Solution

The third proportional to 33,924 and 73,575 is: 159,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,924 : 73,575 = 73,575 : x
  2. Step 2: Convert to fraction form
    33,924/73,575 = 73,575/x
  3. Step 3: Cross multiply
    33,924x = 73,575 × 73,575
  4. Step 4: Simplify right side
    33,924x = 5,413,280,625
  5. Step 5: Solve for x
    x = 5,413,280,625/33,924
  6. Step 6: Final answer
    x = 159,570.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.