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Finding the Third Proportional to 17,903 and 26,963

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Solution

The third proportional to 17,903 and 26,963 is: 40,607.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,903 : 26,963 = 26,963 : x
  2. Step 2: Convert to fraction form
    17,903/26,963 = 26,963/x
  3. Step 3: Cross multiply
    17,903x = 26,963 × 26,963
  4. Step 4: Simplify right side
    17,903x = 727,003,369
  5. Step 5: Solve for x
    x = 727,003,369/17,903
  6. Step 6: Final answer
    x = 40,607.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.