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Finding the Third Proportional to 13,001.34 and 20,170.69

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Solution

The third proportional to 13,001.34 and 20,170.69 is: 31,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.34 : 20,170.69 = 20,170.69 : x
  2. Step 2: Convert to fraction form
    13,001.34/20,170.69 = 20,170.69/x
  3. Step 3: Cross multiply
    13,001.34x = 20,170.69 × 20,170.69
  4. Step 4: Simplify right side
    13,001.34x = 406,856,634.22
  5. Step 5: Solve for x
    x = 406,856,634.22/13,001.34
  6. Step 6: Final answer
    x = 31,293.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.