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Finding the Third Proportional to 16,404.75 and 22,241.25

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Solution

The third proportional to 16,404.75 and 22,241.25 is: 30,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404.75 : 22,241.25 = 22,241.25 : x
  2. Step 2: Convert to fraction form
    16,404.75/22,241.25 = 22,241.25/x
  3. Step 3: Cross multiply
    16,404.75x = 22,241.25 × 22,241.25
  4. Step 4: Simplify right side
    16,404.75x = 494,673,201.56
  5. Step 5: Solve for x
    x = 494,673,201.56/16,404.75
  6. Step 6: Final answer
    x = 30,154.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.