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Finding the Third Proportional to 19,382 and 43,146

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Solution

The third proportional to 19,382 and 43,146 is: 96,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382 : 43,146 = 43,146 : x
  2. Step 2: Convert to fraction form
    19,382/43,146 = 43,146/x
  3. Step 3: Cross multiply
    19,382x = 43,146 × 43,146
  4. Step 4: Simplify right side
    19,382x = 1,861,577,316
  5. Step 5: Solve for x
    x = 1,861,577,316/19,382
  6. Step 6: Final answer
    x = 96,046.71

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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.