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Finding the Third Proportional to 34,956 and 44,901

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Solution

The third proportional to 34,956 and 44,901 is: 57,675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,956 : 44,901 = 44,901 : x
  2. Step 2: Convert to fraction form
    34,956/44,901 = 44,901/x
  3. Step 3: Cross multiply
    34,956x = 44,901 × 44,901
  4. Step 4: Simplify right side
    34,956x = 2,016,099,801
  5. Step 5: Solve for x
    x = 2,016,099,801/34,956
  6. Step 6: Final answer
    x = 57,675.36

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.