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Finding the Third Proportional to 44,011 and 66,227

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Solution

The third proportional to 44,011 and 66,227 is: 99,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,011 : 66,227 = 66,227 : x
  2. Step 2: Convert to fraction form
    44,011/66,227 = 66,227/x
  3. Step 3: Cross multiply
    44,011x = 66,227 × 66,227
  4. Step 4: Simplify right side
    44,011x = 4,386,015,529
  5. Step 5: Solve for x
    x = 4,386,015,529/44,011
  6. Step 6: Final answer
    x = 99,657.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.