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Finding the Third Proportional to 12,723 and 19,463

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Solution

The third proportional to 12,723 and 19,463 is: 29,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723 : 19,463 = 19,463 : x
  2. Step 2: Convert to fraction form
    12,723/19,463 = 19,463/x
  3. Step 3: Cross multiply
    12,723x = 19,463 × 19,463
  4. Step 4: Simplify right side
    12,723x = 378,808,369
  5. Step 5: Solve for x
    x = 378,808,369/12,723
  6. Step 6: Final answer
    x = 29,773.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.