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Finding the Third Proportional to 13,863.66 and 20,308.22

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Solution

The third proportional to 13,863.66 and 20,308.22 is: 29,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.66 : 20,308.22 = 20,308.22 : x
  2. Step 2: Convert to fraction form
    13,863.66/20,308.22 = 20,308.22/x
  3. Step 3: Cross multiply
    13,863.66x = 20,308.22 × 20,308.22
  4. Step 4: Simplify right side
    13,863.66x = 412,423,748.80
  5. Step 5: Solve for x
    x = 412,423,748.80/13,863.66
  6. Step 6: Final answer
    x = 29,748.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.