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Finding the Third Proportional to 3,650 and 5,379

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Solution

The third proportional to 3,650 and 5,379 is: 7,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650 : 5,379 = 5,379 : x
  2. Step 2: Convert to fraction form
    3,650/5,379 = 5,379/x
  3. Step 3: Cross multiply
    3,650x = 5,379 × 5,379
  4. Step 4: Simplify right side
    3,650x = 28,933,641
  5. Step 5: Solve for x
    x = 28,933,641/3,650
  6. Step 6: Final answer
    x = 7,927.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.