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Finding the Third Proportional to 36,816 and 81,960

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Solution

The third proportional to 36,816 and 81,960 is: 182,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,816 : 81,960 = 81,960 : x
  2. Step 2: Convert to fraction form
    36,816/81,960 = 81,960/x
  3. Step 3: Cross multiply
    36,816x = 81,960 × 81,960
  4. Step 4: Simplify right side
    36,816x = 6,717,441,600
  5. Step 5: Solve for x
    x = 6,717,441,600/36,816
  6. Step 6: Final answer
    x = 182,459.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.