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Finding the Third Proportional to 5,786 and 13,997

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Solution

The third proportional to 5,786 and 13,997 is: 33,860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786 : 13,997 = 13,997 : x
  2. Step 2: Convert to fraction form
    5,786/13,997 = 13,997/x
  3. Step 3: Cross multiply
    5,786x = 13,997 × 13,997
  4. Step 4: Simplify right side
    5,786x = 195,916,009
  5. Step 5: Solve for x
    x = 195,916,009/5,786
  6. Step 6: Final answer
    x = 33,860.35

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.