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Finding the Third Proportional to 33,395.63 and 78,836.63

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Solution

The third proportional to 33,395.63 and 78,836.63 is: 186,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,395.63 : 78,836.63 = 78,836.63 : x
  2. Step 2: Convert to fraction form
    33,395.63/78,836.63 = 78,836.63/x
  3. Step 3: Cross multiply
    33,395.63x = 78,836.63 × 78,836.63
  4. Step 4: Simplify right side
    33,395.63x = 6,215,213,441.39
  5. Step 5: Solve for x
    x = 6,215,213,441.39/33,395.63
  6. Step 6: Final answer
    x = 186,108.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.