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Finding the Third Proportional to 19,294 and 41,192

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Solution

The third proportional to 19,294 and 41,192 is: 87,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,294 : 41,192 = 41,192 : x
  2. Step 2: Convert to fraction form
    19,294/41,192 = 41,192/x
  3. Step 3: Cross multiply
    19,294x = 41,192 × 41,192
  4. Step 4: Simplify right side
    19,294x = 1,696,780,864
  5. Step 5: Solve for x
    x = 1,696,780,864/19,294
  6. Step 6: Final answer
    x = 87,943.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.