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Finding the Third Proportional to 12,761 and 28,039.50

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Solution

The third proportional to 12,761 and 28,039.50 is: 61,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761 : 28,039.50 = 28,039.50 : x
  2. Step 2: Convert to fraction form
    12,761/28,039.50 = 28,039.50/x
  3. Step 3: Cross multiply
    12,761x = 28,039.50 × 28,039.50
  4. Step 4: Simplify right side
    12,761x = 786,213,560.25
  5. Step 5: Solve for x
    x = 786,213,560.25/12,761
  6. Step 6: Final answer
    x = 61,610.65

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