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Finding the Third Proportional to 12,814.50 and 27,604.50

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Solution

The third proportional to 12,814.50 and 27,604.50 is: 59,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.50 : 27,604.50 = 27,604.50 : x
  2. Step 2: Convert to fraction form
    12,814.50/27,604.50 = 27,604.50/x
  3. Step 3: Cross multiply
    12,814.50x = 27,604.50 × 27,604.50
  4. Step 4: Simplify right side
    12,814.50x = 762,008,420.25
  5. Step 5: Solve for x
    x = 762,008,420.25/12,814.50
  6. Step 6: Final answer
    x = 59,464.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.