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Finding the Third Proportional to 12,808.50 and 27,721.50

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Solution

The third proportional to 12,808.50 and 27,721.50 is: 59,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.50 : 27,721.50 = 27,721.50 : x
  2. Step 2: Convert to fraction form
    12,808.50/27,721.50 = 27,721.50/x
  3. Step 3: Cross multiply
    12,808.50x = 27,721.50 × 27,721.50
  4. Step 4: Simplify right side
    12,808.50x = 768,481,562.25
  5. Step 5: Solve for x
    x = 768,481,562.25/12,808.50
  6. Step 6: Final answer
    x = 59,997.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.