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Finding the Third Proportional to 39,012 and 62,804

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Solution

The third proportional to 39,012 and 62,804 is: 101,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,012 : 62,804 = 62,804 : x
  2. Step 2: Convert to fraction form
    39,012/62,804 = 62,804/x
  3. Step 3: Cross multiply
    39,012x = 62,804 × 62,804
  4. Step 4: Simplify right side
    39,012x = 3,944,342,416
  5. Step 5: Solve for x
    x = 3,944,342,416/39,012
  6. Step 6: Final answer
    x = 101,105.88

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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.