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Finding the Third Proportional to 36,828 and 81,816.75

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Solution

The third proportional to 36,828 and 81,816.75 is: 181,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,828 : 81,816.75 = 81,816.75 : x
  2. Step 2: Convert to fraction form
    36,828/81,816.75 = 81,816.75/x
  3. Step 3: Cross multiply
    36,828x = 81,816.75 × 81,816.75
  4. Step 4: Simplify right side
    36,828x = 6,693,980,580.56
  5. Step 5: Solve for x
    x = 6,693,980,580.56/36,828
  6. Step 6: Final answer
    x = 181,763.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.