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Finding the Third Proportional to 5,986.13 and 12,893.63

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Solution

The third proportional to 5,986.13 and 12,893.63 is: 27,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.13 : 12,893.63 = 12,893.63 : x
  2. Step 2: Convert to fraction form
    5,986.13/12,893.63 = 12,893.63/x
  3. Step 3: Cross multiply
    5,986.13x = 12,893.63 × 12,893.63
  4. Step 4: Simplify right side
    5,986.13x = 166,245,565.64
  5. Step 5: Solve for x
    x = 166,245,565.64/5,986.13
  6. Step 6: Final answer
    x = 27,771.82

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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.