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Finding the Third Proportional to 19,431 and 41,963

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Solution

The third proportional to 19,431 and 41,963 is: 90,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431 : 41,963 = 41,963 : x
  2. Step 2: Convert to fraction form
    19,431/41,963 = 41,963/x
  3. Step 3: Cross multiply
    19,431x = 41,963 × 41,963
  4. Step 4: Simplify right side
    19,431x = 1,760,893,369
  5. Step 5: Solve for x
    x = 1,760,893,369/19,431
  6. Step 6: Final answer
    x = 90,622.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.