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Finding the Third Proportional to 10,570.50 and 24,578.44

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Solution

The third proportional to 10,570.50 and 24,578.44 is: 57,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.50 : 24,578.44 = 24,578.44 : x
  2. Step 2: Convert to fraction form
    10,570.50/24,578.44 = 24,578.44/x
  3. Step 3: Cross multiply
    10,570.50x = 24,578.44 × 24,578.44
  4. Step 4: Simplify right side
    10,570.50x = 604,099,589.94
  5. Step 5: Solve for x
    x = 604,099,589.94/10,570.50
  6. Step 6: Final answer
    x = 57,149.58

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.