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Finding the Third Proportional to 12,761.30 and 27,705.80

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Solution

The third proportional to 12,761.30 and 27,705.80 is: 60,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.30 : 27,705.80 = 27,705.80 : x
  2. Step 2: Convert to fraction form
    12,761.30/27,705.80 = 27,705.80/x
  3. Step 3: Cross multiply
    12,761.30x = 27,705.80 × 27,705.80
  4. Step 4: Simplify right side
    12,761.30x = 767,611,180.48
  5. Step 5: Solve for x
    x = 767,611,180.48/12,761.30
  6. Step 6: Final answer
    x = 60,151.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.