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Finding the Third Proportional to 36,206.63 and 75,723.38

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Solution

The third proportional to 36,206.63 and 75,723.38 is: 158,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,206.63 : 75,723.38 = 75,723.38 : x
  2. Step 2: Convert to fraction form
    36,206.63/75,723.38 = 75,723.38/x
  3. Step 3: Cross multiply
    36,206.63x = 75,723.38 × 75,723.38
  4. Step 4: Simplify right side
    36,206.63x = 5,734,029,521.39
  5. Step 5: Solve for x
    x = 5,734,029,521.39/36,206.63
  6. Step 6: Final answer
    x = 158,369.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.