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Finding the Third Proportional to 13,805.44 and 24,922.69

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Solution

The third proportional to 13,805.44 and 24,922.69 is: 44,992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.44 : 24,922.69 = 24,922.69 : x
  2. Step 2: Convert to fraction form
    13,805.44/24,922.69 = 24,922.69/x
  3. Step 3: Cross multiply
    13,805.44x = 24,922.69 × 24,922.69
  4. Step 4: Simplify right side
    13,805.44x = 621,140,352.22
  5. Step 5: Solve for x
    x = 621,140,352.22/13,805.44
  6. Step 6: Final answer
    x = 44,992.44

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.