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Finding the Third Proportional to 14,149.69 and 20,110.78

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Solution

The third proportional to 14,149.69 and 20,110.78 is: 28,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.69 : 20,110.78 = 20,110.78 : x
  2. Step 2: Convert to fraction form
    14,149.69/20,110.78 = 20,110.78/x
  3. Step 3: Cross multiply
    14,149.69x = 20,110.78 × 20,110.78
  4. Step 4: Simplify right side
    14,149.69x = 404,443,522.49
  5. Step 5: Solve for x
    x = 404,443,522.49/14,149.69
  6. Step 6: Final answer
    x = 28,583.21

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.