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Finding the Third Proportional to 17,127 and 23,463

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Solution

The third proportional to 17,127 and 23,463 is: 32,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,127 : 23,463 = 23,463 : x
  2. Step 2: Convert to fraction form
    17,127/23,463 = 23,463/x
  3. Step 3: Cross multiply
    17,127x = 23,463 × 23,463
  4. Step 4: Simplify right side
    17,127x = 550,512,369
  5. Step 5: Solve for x
    x = 550,512,369/17,127
  6. Step 6: Final answer
    x = 32,142.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.