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Finding the Third Proportional to 41,227 and 56,004

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Solution

The third proportional to 41,227 and 56,004 is: 76,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,227 : 56,004 = 56,004 : x
  2. Step 2: Convert to fraction form
    41,227/56,004 = 56,004/x
  3. Step 3: Cross multiply
    41,227x = 56,004 × 56,004
  4. Step 4: Simplify right side
    41,227x = 3,136,448,016
  5. Step 5: Solve for x
    x = 3,136,448,016/41,227
  6. Step 6: Final answer
    x = 76,077.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.