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Finding the Third Proportional to 34,941 and 75,414

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Solution

The third proportional to 34,941 and 75,414 is: 162,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,941 : 75,414 = 75,414 : x
  2. Step 2: Convert to fraction form
    34,941/75,414 = 75,414/x
  3. Step 3: Cross multiply
    34,941x = 75,414 × 75,414
  4. Step 4: Simplify right side
    34,941x = 5,687,271,396
  5. Step 5: Solve for x
    x = 5,687,271,396/34,941
  6. Step 6: Final answer
    x = 162,767.85

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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.