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Finding the Third Proportional to 5,754.76 and 12,719.41

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Solution

The third proportional to 5,754.76 and 12,719.41 is: 28,112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.76 : 12,719.41 = 12,719.41 : x
  2. Step 2: Convert to fraction form
    5,754.76/12,719.41 = 12,719.41/x
  3. Step 3: Cross multiply
    5,754.76x = 12,719.41 × 12,719.41
  4. Step 4: Simplify right side
    5,754.76x = 161,783,456.83
  5. Step 5: Solve for x
    x = 161,783,456.83/5,754.76
  6. Step 6: Final answer
    x = 28,112.99

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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.