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Finding the Third Proportional to 17,536.50 and 20,589.19

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Solution

The third proportional to 17,536.50 and 20,589.19 is: 24,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.50 : 20,589.19 = 20,589.19 : x
  2. Step 2: Convert to fraction form
    17,536.50/20,589.19 = 20,589.19/x
  3. Step 3: Cross multiply
    17,536.50x = 20,589.19 × 20,589.19
  4. Step 4: Simplify right side
    17,536.50x = 423,914,641.91
  5. Step 5: Solve for x
    x = 423,914,641.91/17,536.50
  6. Step 6: Final answer
    x = 24,173.28

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.