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Finding the Third Proportional to 5,771.25 and 12,719.53

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Solution

The third proportional to 5,771.25 and 12,719.53 is: 28,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.25 : 12,719.53 = 12,719.53 : x
  2. Step 2: Convert to fraction form
    5,771.25/12,719.53 = 12,719.53/x
  3. Step 3: Cross multiply
    5,771.25x = 12,719.53 × 12,719.53
  4. Step 4: Simplify right side
    5,771.25x = 161,786,475.22
  5. Step 5: Solve for x
    x = 161,786,475.22/5,771.25
  6. Step 6: Final answer
    x = 28,033.18

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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.