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Finding the Third Proportional to 12,027 and 27,685.50

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Solution

The third proportional to 12,027 and 27,685.50 is: 63,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027 : 27,685.50 = 27,685.50 : x
  2. Step 2: Convert to fraction form
    12,027/27,685.50 = 27,685.50/x
  3. Step 3: Cross multiply
    12,027x = 27,685.50 × 27,685.50
  4. Step 4: Simplify right side
    12,027x = 766,486,910.25
  5. Step 5: Solve for x
    x = 766,486,910.25/12,027
  6. Step 6: Final answer
    x = 63,730.52

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.