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Finding the Third Proportional to 5,464.55 and 12,077.30

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Solution

The third proportional to 5,464.55 and 12,077.30 is: 26,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.55 : 12,077.30 = 12,077.30 : x
  2. Step 2: Convert to fraction form
    5,464.55/12,077.30 = 12,077.30/x
  3. Step 3: Cross multiply
    5,464.55x = 12,077.30 × 12,077.30
  4. Step 4: Simplify right side
    5,464.55x = 145,861,099.81
  5. Step 5: Solve for x
    x = 145,861,099.81/5,464.55
  6. Step 6: Final answer
    x = 26,692.26

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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.