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Finding the Third Proportional to 36,656 and 54,852

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Solution

The third proportional to 36,656 and 54,852 is: 82,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,656 : 54,852 = 54,852 : x
  2. Step 2: Convert to fraction form
    36,656/54,852 = 54,852/x
  3. Step 3: Cross multiply
    36,656x = 54,852 × 54,852
  4. Step 4: Simplify right side
    36,656x = 3,008,741,904
  5. Step 5: Solve for x
    x = 3,008,741,904/36,656
  6. Step 6: Final answer
    x = 82,080.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.