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Finding the Third Proportional to 12,780 and 27,991.50

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Solution

The third proportional to 12,780 and 27,991.50 is: 61,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780 : 27,991.50 = 27,991.50 : x
  2. Step 2: Convert to fraction form
    12,780/27,991.50 = 27,991.50/x
  3. Step 3: Cross multiply
    12,780x = 27,991.50 × 27,991.50
  4. Step 4: Simplify right side
    12,780x = 783,524,072.25
  5. Step 5: Solve for x
    x = 783,524,072.25/12,780
  6. Step 6: Final answer
    x = 61,308.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.