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Finding the Third Proportional to 36,015 and 83,727

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Solution

The third proportional to 36,015 and 83,727 is: 194,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,015 : 83,727 = 83,727 : x
  2. Step 2: Convert to fraction form
    36,015/83,727 = 83,727/x
  3. Step 3: Cross multiply
    36,015x = 83,727 × 83,727
  4. Step 4: Simplify right side
    36,015x = 7,010,210,529
  5. Step 5: Solve for x
    x = 7,010,210,529/36,015
  6. Step 6: Final answer
    x = 194,646.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.