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Finding the Third Proportional to 21,144.38 and 50,005.69

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Solution

The third proportional to 21,144.38 and 50,005.69 is: 118,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.38 : 50,005.69 = 50,005.69 : x
  2. Step 2: Convert to fraction form
    21,144.38/50,005.69 = 50,005.69/x
  3. Step 3: Cross multiply
    21,144.38x = 50,005.69 × 50,005.69
  4. Step 4: Simplify right side
    21,144.38x = 2,500,568,782.35
  5. Step 5: Solve for x
    x = 2,500,568,782.35/21,144.38
  6. Step 6: Final answer
    x = 118,261.66

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.