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Finding the Third Proportional to 5,986.83 and 13,009.97

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Solution

The third proportional to 5,986.83 and 13,009.97 is: 28,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.83 : 13,009.97 = 13,009.97 : x
  2. Step 2: Convert to fraction form
    5,986.83/13,009.97 = 13,009.97/x
  3. Step 3: Cross multiply
    5,986.83x = 13,009.97 × 13,009.97
  4. Step 4: Simplify right side
    5,986.83x = 169,259,286.88
  5. Step 5: Solve for x
    x = 169,259,286.88/5,986.83
  6. Step 6: Final answer
    x = 28,271.95

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Why These Related Problems?

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