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Finding the Third Proportional to 13,534.88 and 20,301.75

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Solution

The third proportional to 13,534.88 and 20,301.75 is: 30,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.88 : 20,301.75 = 20,301.75 : x
  2. Step 2: Convert to fraction form
    13,534.88/20,301.75 = 20,301.75/x
  3. Step 3: Cross multiply
    13,534.88x = 20,301.75 × 20,301.75
  4. Step 4: Simplify right side
    13,534.88x = 412,161,053.06
  5. Step 5: Solve for x
    x = 412,161,053.06/13,534.88
  6. Step 6: Final answer
    x = 30,451.78

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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.