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Finding the Third Proportional to 13,978 and 19,555

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Solution

The third proportional to 13,978 and 19,555 is: 27,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978 : 19,555 = 19,555 : x
  2. Step 2: Convert to fraction form
    13,978/19,555 = 19,555/x
  3. Step 3: Cross multiply
    13,978x = 19,555 × 19,555
  4. Step 4: Simplify right side
    13,978x = 382,398,025
  5. Step 5: Solve for x
    x = 382,398,025/13,978
  6. Step 6: Final answer
    x = 27,357.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.