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Finding the Third Proportional to 44,898 and 69,711

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Solution

The third proportional to 44,898 and 69,711 is: 108,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,898 : 69,711 = 69,711 : x
  2. Step 2: Convert to fraction form
    44,898/69,711 = 69,711/x
  3. Step 3: Cross multiply
    44,898x = 69,711 × 69,711
  4. Step 4: Simplify right side
    44,898x = 4,859,623,521
  5. Step 5: Solve for x
    x = 4,859,623,521/44,898
  6. Step 6: Final answer
    x = 108,236.97

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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.