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Finding the Third Proportional to 3,643 and 5,494

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Solution

The third proportional to 3,643 and 5,494 is: 8,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643 : 5,494 = 5,494 : x
  2. Step 2: Convert to fraction form
    3,643/5,494 = 5,494/x
  3. Step 3: Cross multiply
    3,643x = 5,494 × 5,494
  4. Step 4: Simplify right side
    3,643x = 30,184,036
  5. Step 5: Solve for x
    x = 30,184,036/3,643
  6. Step 6: Final answer
    x = 8,285.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.