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Finding the Third Proportional to 40,006 and 57,625

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Solution

The third proportional to 40,006 and 57,625 is: 83,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,006 : 57,625 = 57,625 : x
  2. Step 2: Convert to fraction form
    40,006/57,625 = 57,625/x
  3. Step 3: Cross multiply
    40,006x = 57,625 × 57,625
  4. Step 4: Simplify right side
    40,006x = 3,320,640,625
  5. Step 5: Solve for x
    x = 3,320,640,625/40,006
  6. Step 6: Final answer
    x = 83,003.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.