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Finding the Third Proportional to 8,203 and 17,963

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Solution

The third proportional to 8,203 and 17,963 is: 39,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203 : 17,963 = 17,963 : x
  2. Step 2: Convert to fraction form
    8,203/17,963 = 17,963/x
  3. Step 3: Cross multiply
    8,203x = 17,963 × 17,963
  4. Step 4: Simplify right side
    8,203x = 322,669,369
  5. Step 5: Solve for x
    x = 322,669,369/8,203
  6. Step 6: Final answer
    x = 39,335.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.