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Finding the Third Proportional to 6,170 and 13,393

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Solution

The third proportional to 6,170 and 13,393 is: 29,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170 : 13,393 = 13,393 : x
  2. Step 2: Convert to fraction form
    6,170/13,393 = 13,393/x
  3. Step 3: Cross multiply
    6,170x = 13,393 × 13,393
  4. Step 4: Simplify right side
    6,170x = 179,372,449
  5. Step 5: Solve for x
    x = 179,372,449/6,170
  6. Step 6: Final answer
    x = 29,071.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.