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Finding the Third Proportional to 20,177 and 44,182

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Solution

The third proportional to 20,177 and 44,182 is: 96,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177 : 44,182 = 44,182 : x
  2. Step 2: Convert to fraction form
    20,177/44,182 = 44,182/x
  3. Step 3: Cross multiply
    20,177x = 44,182 × 44,182
  4. Step 4: Simplify right side
    20,177x = 1,952,049,124
  5. Step 5: Solve for x
    x = 1,952,049,124/20,177
  6. Step 6: Final answer
    x = 96,746.25

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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.