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Finding the Third Proportional to 4,141 and 5,494

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Solution

The third proportional to 4,141 and 5,494 is: 7,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141 : 5,494 = 5,494 : x
  2. Step 2: Convert to fraction form
    4,141/5,494 = 5,494/x
  3. Step 3: Cross multiply
    4,141x = 5,494 × 5,494
  4. Step 4: Simplify right side
    4,141x = 30,184,036
  5. Step 5: Solve for x
    x = 30,184,036/4,141
  6. Step 6: Final answer
    x = 7,289.07

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Why These Related Problems?

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