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Finding the Third Proportional to 36,324 and 77,832

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Solution

The third proportional to 36,324 and 77,832 is: 166,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,324 : 77,832 = 77,832 : x
  2. Step 2: Convert to fraction form
    36,324/77,832 = 77,832/x
  3. Step 3: Cross multiply
    36,324x = 77,832 × 77,832
  4. Step 4: Simplify right side
    36,324x = 6,057,820,224
  5. Step 5: Solve for x
    x = 6,057,820,224/36,324
  6. Step 6: Final answer
    x = 166,771.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.