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Finding the Third Proportional to 36,558 and 82,572.75

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Solution

The third proportional to 36,558 and 82,572.75 is: 186,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,558 : 82,572.75 = 82,572.75 : x
  2. Step 2: Convert to fraction form
    36,558/82,572.75 = 82,572.75/x
  3. Step 3: Cross multiply
    36,558x = 82,572.75 × 82,572.75
  4. Step 4: Simplify right side
    36,558x = 6,818,259,042.56
  5. Step 5: Solve for x
    x = 6,818,259,042.56/36,558
  6. Step 6: Final answer
    x = 186,505.25

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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.