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Finding the Third Proportional to 5,989.13 and 13,201.13

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Solution

The third proportional to 5,989.13 and 13,201.13 is: 29,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.13 : 13,201.13 = 13,201.13 : x
  2. Step 2: Convert to fraction form
    5,989.13/13,201.13 = 13,201.13/x
  3. Step 3: Cross multiply
    5,989.13x = 13,201.13 × 13,201.13
  4. Step 4: Simplify right side
    5,989.13x = 174,269,701.27
  5. Step 5: Solve for x
    x = 174,269,701.27/5,989.13
  6. Step 6: Final answer
    x = 29,097.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.