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Finding the Third Proportional to 34,885 and 75,350

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Solution

The third proportional to 34,885 and 75,350 is: 162,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,885 : 75,350 = 75,350 : x
  2. Step 2: Convert to fraction form
    34,885/75,350 = 75,350/x
  3. Step 3: Cross multiply
    34,885x = 75,350 × 75,350
  4. Step 4: Simplify right side
    34,885x = 5,677,622,500
  5. Step 5: Solve for x
    x = 5,677,622,500/34,885
  6. Step 6: Final answer
    x = 162,752.54

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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.