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Finding the Third Proportional to 36,020 and 75,694

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Solution

The third proportional to 36,020 and 75,694 is: 159,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,020 : 75,694 = 75,694 : x
  2. Step 2: Convert to fraction form
    36,020/75,694 = 75,694/x
  3. Step 3: Cross multiply
    36,020x = 75,694 × 75,694
  4. Step 4: Simplify right side
    36,020x = 5,729,581,636
  5. Step 5: Solve for x
    x = 5,729,581,636/36,020
  6. Step 6: Final answer
    x = 159,066.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.