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Finding the Third Proportional to 34,493 and 75,444

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Solution

The third proportional to 34,493 and 75,444 is: 165,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,493 : 75,444 = 75,444 : x
  2. Step 2: Convert to fraction form
    34,493/75,444 = 75,444/x
  3. Step 3: Cross multiply
    34,493x = 75,444 × 75,444
  4. Step 4: Simplify right side
    34,493x = 5,691,797,136
  5. Step 5: Solve for x
    x = 5,691,797,136/34,493
  6. Step 6: Final answer
    x = 165,013.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.