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Finding the Third Proportional to 33,786 and 52,550

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Solution

The third proportional to 33,786 and 52,550 is: 81,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,786 : 52,550 = 52,550 : x
  2. Step 2: Convert to fraction form
    33,786/52,550 = 52,550/x
  3. Step 3: Cross multiply
    33,786x = 52,550 × 52,550
  4. Step 4: Simplify right side
    33,786x = 2,761,502,500
  5. Step 5: Solve for x
    x = 2,761,502,500/33,786
  6. Step 6: Final answer
    x = 81,735.11

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.