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Finding the Third Proportional to 11,352.66 and 20,131.03

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Solution

The third proportional to 11,352.66 and 20,131.03 is: 35,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.66 : 20,131.03 = 20,131.03 : x
  2. Step 2: Convert to fraction form
    11,352.66/20,131.03 = 20,131.03/x
  3. Step 3: Cross multiply
    11,352.66x = 20,131.03 × 20,131.03
  4. Step 4: Simplify right side
    11,352.66x = 405,258,419.19
  5. Step 5: Solve for x
    x = 405,258,419.19/11,352.66
  6. Step 6: Final answer
    x = 35,697.23

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.