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Finding the Third Proportional to 36,027 and 83,751.75

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Solution

The third proportional to 36,027 and 83,751.75 is: 194,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,027 : 83,751.75 = 83,751.75 : x
  2. Step 2: Convert to fraction form
    36,027/83,751.75 = 83,751.75/x
  3. Step 3: Cross multiply
    36,027x = 83,751.75 × 83,751.75
  4. Step 4: Simplify right side
    36,027x = 7,014,355,628.06
  5. Step 5: Solve for x
    x = 7,014,355,628.06/36,027
  6. Step 6: Final answer
    x = 194,697.19

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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.