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Finding the Third Proportional to 3,994 and 5,719.25

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Solution

The third proportional to 3,994 and 5,719.25 is: 8,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994 : 5,719.25 = 5,719.25 : x
  2. Step 2: Convert to fraction form
    3,994/5,719.25 = 5,719.25/x
  3. Step 3: Cross multiply
    3,994x = 5,719.25 × 5,719.25
  4. Step 4: Simplify right side
    3,994x = 32,709,820.56
  5. Step 5: Solve for x
    x = 32,709,820.56/3,994
  6. Step 6: Final answer
    x = 8,189.74

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.