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Finding the Third Proportional to 29,035 and 44,874

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Solution

The third proportional to 29,035 and 44,874 is: 69,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,035 : 44,874 = 44,874 : x
  2. Step 2: Convert to fraction form
    29,035/44,874 = 44,874/x
  3. Step 3: Cross multiply
    29,035x = 44,874 × 44,874
  4. Step 4: Simplify right side
    29,035x = 2,013,675,876
  5. Step 5: Solve for x
    x = 2,013,675,876/29,035
  6. Step 6: Final answer
    x = 69,353.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.