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Finding the Third Proportional to 17,744.75 and 24,672.75

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Solution

The third proportional to 17,744.75 and 24,672.75 is: 34,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.75 : 24,672.75 = 24,672.75 : x
  2. Step 2: Convert to fraction form
    17,744.75/24,672.75 = 24,672.75/x
  3. Step 3: Cross multiply
    17,744.75x = 24,672.75 × 24,672.75
  4. Step 4: Simplify right side
    17,744.75x = 608,744,592.56
  5. Step 5: Solve for x
    x = 608,744,592.56/17,744.75
  6. Step 6: Final answer
    x = 34,305.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.