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Finding the Third Proportional to 19,653 and 43,149

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Solution

The third proportional to 19,653 and 43,149 is: 94,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653 : 43,149 = 43,149 : x
  2. Step 2: Convert to fraction form
    19,653/43,149 = 43,149/x
  3. Step 3: Cross multiply
    19,653x = 43,149 × 43,149
  4. Step 4: Simplify right side
    19,653x = 1,861,836,201
  5. Step 5: Solve for x
    x = 1,861,836,201/19,653
  6. Step 6: Final answer
    x = 94,735.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.