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Finding the Third Proportional to 13,207.43 and 19,811.14

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Solution

The third proportional to 13,207.43 and 19,811.14 is: 29,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.43 : 19,811.14 = 19,811.14 : x
  2. Step 2: Convert to fraction form
    13,207.43/19,811.14 = 19,811.14/x
  3. Step 3: Cross multiply
    13,207.43x = 19,811.14 × 19,811.14
  4. Step 4: Simplify right side
    13,207.43x = 392,481,447.64
  5. Step 5: Solve for x
    x = 392,481,447.64/13,207.43
  6. Step 6: Final answer
    x = 29,716.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.