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Finding the Third Proportional to 13,296.66 and 20,298.09

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Solution

The third proportional to 13,296.66 and 20,298.09 is: 30,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,296.66 : 20,298.09 = 20,298.09 : x
  2. Step 2: Convert to fraction form
    13,296.66/20,298.09 = 20,298.09/x
  3. Step 3: Cross multiply
    13,296.66x = 20,298.09 × 20,298.09
  4. Step 4: Simplify right side
    13,296.66x = 412,012,609.88
  5. Step 5: Solve for x
    x = 412,012,609.88/13,296.66
  6. Step 6: Final answer
    x = 30,986.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.