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Finding the Third Proportional to 33,653 and 52,102

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Solution

The third proportional to 33,653 and 52,102 is: 80,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,653 : 52,102 = 52,102 : x
  2. Step 2: Convert to fraction form
    33,653/52,102 = 52,102/x
  3. Step 3: Cross multiply
    33,653x = 52,102 × 52,102
  4. Step 4: Simplify right side
    33,653x = 2,714,618,404
  5. Step 5: Solve for x
    x = 2,714,618,404/33,653
  6. Step 6: Final answer
    x = 80,664.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.