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Finding the Third Proportional to 12,674 and 27,832

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Solution

The third proportional to 12,674 and 27,832 is: 61,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674 : 27,832 = 27,832 : x
  2. Step 2: Convert to fraction form
    12,674/27,832 = 27,832/x
  3. Step 3: Cross multiply
    12,674x = 27,832 × 27,832
  4. Step 4: Simplify right side
    12,674x = 774,620,224
  5. Step 5: Solve for x
    x = 774,620,224/12,674
  6. Step 6: Final answer
    x = 61,118.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.