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Finding the Third Proportional to 33,653 and 52,798.75

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Solution

The third proportional to 33,653 and 52,798.75 is: 82,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,653 : 52,798.75 = 52,798.75 : x
  2. Step 2: Convert to fraction form
    33,653/52,798.75 = 52,798.75/x
  3. Step 3: Cross multiply
    33,653x = 52,798.75 × 52,798.75
  4. Step 4: Simplify right side
    33,653x = 2,787,708,001.56
  5. Step 5: Solve for x
    x = 2,787,708,001.56/33,653
  6. Step 6: Final answer
    x = 82,836.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.