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Finding the Third Proportional to 3,801.94 and 5,748.47

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Solution

The third proportional to 3,801.94 and 5,748.47 is: 8,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.94 : 5,748.47 = 5,748.47 : x
  2. Step 2: Convert to fraction form
    3,801.94/5,748.47 = 5,748.47/x
  3. Step 3: Cross multiply
    3,801.94x = 5,748.47 × 5,748.47
  4. Step 4: Simplify right side
    3,801.94x = 33,044,892.97
  5. Step 5: Solve for x
    x = 33,044,892.97/3,801.94
  6. Step 6: Final answer
    x = 8,691.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.