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Finding the Third Proportional to 5,755.22 and 12,738.94

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Solution

The third proportional to 5,755.22 and 12,738.94 is: 28,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.22 : 12,738.94 = 12,738.94 : x
  2. Step 2: Convert to fraction form
    5,755.22/12,738.94 = 12,738.94/x
  3. Step 3: Cross multiply
    5,755.22x = 12,738.94 × 12,738.94
  4. Step 4: Simplify right side
    5,755.22x = 162,280,528.63
  5. Step 5: Solve for x
    x = 162,280,528.63/5,755.22
  6. Step 6: Final answer
    x = 28,197.11

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.