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Finding the Third Proportional to 33,821.61 and 52,573.43

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Solution

The third proportional to 33,821.61 and 52,573.43 is: 81,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,821.61 : 52,573.43 = 52,573.43 : x
  2. Step 2: Convert to fraction form
    33,821.61/52,573.43 = 52,573.43/x
  3. Step 3: Cross multiply
    33,821.61x = 52,573.43 × 52,573.43
  4. Step 4: Simplify right side
    33,821.61x = 2,763,965,509.11
  5. Step 5: Solve for x
    x = 2,763,965,509.11/33,821.61
  6. Step 6: Final answer
    x = 81,721.87

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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.