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Finding the Third Proportional to 19,339 and 40,966

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Solution

The third proportional to 19,339 and 40,966 is: 86,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,339 : 40,966 = 40,966 : x
  2. Step 2: Convert to fraction form
    19,339/40,966 = 40,966/x
  3. Step 3: Cross multiply
    19,339x = 40,966 × 40,966
  4. Step 4: Simplify right side
    19,339x = 1,678,213,156
  5. Step 5: Solve for x
    x = 1,678,213,156/19,339
  6. Step 6: Final answer
    x = 86,778.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.