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Finding the Third Proportional to 4,061 and 5,400.50

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Solution

The third proportional to 4,061 and 5,400.50 is: 7,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061 : 5,400.50 = 5,400.50 : x
  2. Step 2: Convert to fraction form
    4,061/5,400.50 = 5,400.50/x
  3. Step 3: Cross multiply
    4,061x = 5,400.50 × 5,400.50
  4. Step 4: Simplify right side
    4,061x = 29,165,400.25
  5. Step 5: Solve for x
    x = 29,165,400.25/4,061
  6. Step 6: Final answer
    x = 7,181.83

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.