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Finding the Third Proportional to 5,961.47 and 12,845.53

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Solution

The third proportional to 5,961.47 and 12,845.53 is: 27,679.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.47 : 12,845.53 = 12,845.53 : x
  2. Step 2: Convert to fraction form
    5,961.47/12,845.53 = 12,845.53/x
  3. Step 3: Cross multiply
    5,961.47x = 12,845.53 × 12,845.53
  4. Step 4: Simplify right side
    5,961.47x = 165,007,673.09
  5. Step 5: Solve for x
    x = 165,007,673.09/5,961.47
  6. Step 6: Final answer
    x = 27,679.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.