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Finding the Third Proportional to 36,192.19 and 52,212

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Solution

The third proportional to 36,192.19 and 52,212 is: 75,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,192.19 : 52,212 = 52,212 : x
  2. Step 2: Convert to fraction form
    36,192.19/52,212 = 52,212/x
  3. Step 3: Cross multiply
    36,192.19x = 52,212 × 52,212
  4. Step 4: Simplify right side
    36,192.19x = 2,726,092,944
  5. Step 5: Solve for x
    x = 2,726,092,944/36,192.19
  6. Step 6: Final answer
    x = 75,322.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.