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Finding the Third Proportional to 33,828.47 and 51,540.61

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Solution

The third proportional to 33,828.47 and 51,540.61 is: 78,526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,828.47 : 51,540.61 = 51,540.61 : x
  2. Step 2: Convert to fraction form
    33,828.47/51,540.61 = 51,540.61/x
  3. Step 3: Cross multiply
    33,828.47x = 51,540.61 × 51,540.61
  4. Step 4: Simplify right side
    33,828.47x = 2,656,434,414.75
  5. Step 5: Solve for x
    x = 2,656,434,414.75/33,828.47
  6. Step 6: Final answer
    x = 78,526.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.