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Finding the Third Proportional to 17,205.75 and 24,229.55

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Solution

The third proportional to 17,205.75 and 24,229.55 is: 34,120.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.75 : 24,229.55 = 24,229.55 : x
  2. Step 2: Convert to fraction form
    17,205.75/24,229.55 = 24,229.55/x
  3. Step 3: Cross multiply
    17,205.75x = 24,229.55 × 24,229.55
  4. Step 4: Simplify right side
    17,205.75x = 587,070,941.77
  5. Step 5: Solve for x
    x = 587,070,941.77/17,205.75
  6. Step 6: Final answer
    x = 34,120.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.