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Finding the Third Proportional to 13,367 and 27,058.50

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Solution

The third proportional to 13,367 and 27,058.50 is: 54,773.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367 : 27,058.50 = 27,058.50 : x
  2. Step 2: Convert to fraction form
    13,367/27,058.50 = 27,058.50/x
  3. Step 3: Cross multiply
    13,367x = 27,058.50 × 27,058.50
  4. Step 4: Simplify right side
    13,367x = 732,162,422.25
  5. Step 5: Solve for x
    x = 732,162,422.25/13,367
  6. Step 6: Final answer
    x = 54,773.88

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.