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Finding the Third Proportional to 39,004 and 62,812

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Solution

The third proportional to 39,004 and 62,812 is: 101,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,004 : 62,812 = 62,812 : x
  2. Step 2: Convert to fraction form
    39,004/62,812 = 62,812/x
  3. Step 3: Cross multiply
    39,004x = 62,812 × 62,812
  4. Step 4: Simplify right side
    39,004x = 3,945,347,344
  5. Step 5: Solve for x
    x = 3,945,347,344/39,004
  6. Step 6: Final answer
    x = 101,152.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.