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Finding the Third Proportional to 19,367 and 42,287

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Solution

The third proportional to 19,367 and 42,287 is: 92,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,367 : 42,287 = 42,287 : x
  2. Step 2: Convert to fraction form
    19,367/42,287 = 42,287/x
  3. Step 3: Cross multiply
    19,367x = 42,287 × 42,287
  4. Step 4: Simplify right side
    19,367x = 1,788,190,369
  5. Step 5: Solve for x
    x = 1,788,190,369/19,367
  6. Step 6: Final answer
    x = 92,331.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.