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Finding the Third Proportional to 13,744.69 and 22,135.78

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Solution

The third proportional to 13,744.69 and 22,135.78 is: 35,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.69 : 22,135.78 = 22,135.78 : x
  2. Step 2: Convert to fraction form
    13,744.69/22,135.78 = 22,135.78/x
  3. Step 3: Cross multiply
    13,744.69x = 22,135.78 × 22,135.78
  4. Step 4: Simplify right side
    13,744.69x = 489,992,811.55
  5. Step 5: Solve for x
    x = 489,992,811.55/13,744.69
  6. Step 6: Final answer
    x = 35,649.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.