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Finding the Third Proportional to 33,801.61 and 52,546.08

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Solution

The third proportional to 33,801.61 and 52,546.08 is: 81,685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,801.61 : 52,546.08 = 52,546.08 : x
  2. Step 2: Convert to fraction form
    33,801.61/52,546.08 = 52,546.08/x
  3. Step 3: Cross multiply
    33,801.61x = 52,546.08 × 52,546.08
  4. Step 4: Simplify right side
    33,801.61x = 2,761,090,326.32
  5. Step 5: Solve for x
    x = 2,761,090,326.32/33,801.61
  6. Step 6: Final answer
    x = 81,685.17

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