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Finding the Third Proportional to 36,552.94 and 82,563.47

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Solution

The third proportional to 36,552.94 and 82,563.47 is: 186,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,552.94 : 82,563.47 = 82,563.47 : x
  2. Step 2: Convert to fraction form
    36,552.94/82,563.47 = 82,563.47/x
  3. Step 3: Cross multiply
    36,552.94x = 82,563.47 × 82,563.47
  4. Step 4: Simplify right side
    36,552.94x = 6,816,726,372.03
  5. Step 5: Solve for x
    x = 6,816,726,372.03/36,552.94
  6. Step 6: Final answer
    x = 186,489.15

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.