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Finding the Third Proportional to 20,149 and 44,185

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Solution

The third proportional to 20,149 and 44,185 is: 96,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149 : 44,185 = 44,185 : x
  2. Step 2: Convert to fraction form
    20,149/44,185 = 44,185/x
  3. Step 3: Cross multiply
    20,149x = 44,185 × 44,185
  4. Step 4: Simplify right side
    20,149x = 1,952,314,225
  5. Step 5: Solve for x
    x = 1,952,314,225/20,149
  6. Step 6: Final answer
    x = 96,893.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.