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Finding the Third Proportional to 19,382 and 43,147

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Solution

The third proportional to 19,382 and 43,147 is: 96,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382 : 43,147 = 43,147 : x
  2. Step 2: Convert to fraction form
    19,382/43,147 = 43,147/x
  3. Step 3: Cross multiply
    19,382x = 43,147 × 43,147
  4. Step 4: Simplify right side
    19,382x = 1,861,663,609
  5. Step 5: Solve for x
    x = 1,861,663,609/19,382
  6. Step 6: Final answer
    x = 96,051.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.