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Finding the Third Proportional to 12,983 and 19,453

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Solution

The third proportional to 12,983 and 19,453 is: 29,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983 : 19,453 = 19,453 : x
  2. Step 2: Convert to fraction form
    12,983/19,453 = 19,453/x
  3. Step 3: Cross multiply
    12,983x = 19,453 × 19,453
  4. Step 4: Simplify right side
    12,983x = 378,419,209
  5. Step 5: Solve for x
    x = 378,419,209/12,983
  6. Step 6: Final answer
    x = 29,147.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.