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Finding the Third Proportional to 33,997.13 and 56,184.75

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Solution

The third proportional to 33,997.13 and 56,184.75 is: 92,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,997.13 : 56,184.75 = 56,184.75 : x
  2. Step 2: Convert to fraction form
    33,997.13/56,184.75 = 56,184.75/x
  3. Step 3: Cross multiply
    33,997.13x = 56,184.75 × 56,184.75
  4. Step 4: Simplify right side
    33,997.13x = 3,156,726,132.56
  5. Step 5: Solve for x
    x = 3,156,726,132.56/33,997.13
  6. Step 6: Final answer
    x = 92,852.74

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.