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Finding the Third Proportional to 33,519 and 52,118

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Solution

The third proportional to 33,519 and 52,118 is: 81,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,519 : 52,118 = 52,118 : x
  2. Step 2: Convert to fraction form
    33,519/52,118 = 52,118/x
  3. Step 3: Cross multiply
    33,519x = 52,118 × 52,118
  4. Step 4: Simplify right side
    33,519x = 2,716,285,924
  5. Step 5: Solve for x
    x = 2,716,285,924/33,519
  6. Step 6: Final answer
    x = 81,037.20

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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.