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Finding the Third Proportional to 20,164 and 43,790

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Solution

The third proportional to 20,164 and 43,790 is: 95,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164 : 43,790 = 43,790 : x
  2. Step 2: Convert to fraction form
    20,164/43,790 = 43,790/x
  3. Step 3: Cross multiply
    20,164x = 43,790 × 43,790
  4. Step 4: Simplify right side
    20,164x = 1,917,564,100
  5. Step 5: Solve for x
    x = 1,917,564,100/20,164
  6. Step 6: Final answer
    x = 95,098.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.