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Finding the Third Proportional to 5,986.69 and 13,020.75

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Solution

The third proportional to 5,986.69 and 13,020.75 is: 28,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.69 : 13,020.75 = 13,020.75 : x
  2. Step 2: Convert to fraction form
    5,986.69/13,020.75 = 13,020.75/x
  3. Step 3: Cross multiply
    5,986.69x = 13,020.75 × 13,020.75
  4. Step 4: Simplify right side
    5,986.69x = 169,539,930.56
  5. Step 5: Solve for x
    x = 169,539,930.56/5,986.69
  6. Step 6: Final answer
    x = 28,319.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.