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Finding the Third Proportional to 3,052.69 and 3,719.04

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Solution

The third proportional to 3,052.69 and 3,719.04 is: 4,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.69 : 3,719.04 = 3,719.04 : x
  2. Step 2: Convert to fraction form
    3,052.69/3,719.04 = 3,719.04/x
  3. Step 3: Cross multiply
    3,052.69x = 3,719.04 × 3,719.04
  4. Step 4: Simplify right side
    3,052.69x = 13,831,251.55
  5. Step 5: Solve for x
    x = 13,831,251.55/3,052.69
  6. Step 6: Final answer
    x = 4,530.84

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.