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Finding the Third Proportional to 5,413 and 8,121

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Solution

The third proportional to 5,413 and 8,121 is: 12,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413 : 8,121 = 8,121 : x
  2. Step 2: Convert to fraction form
    5,413/8,121 = 8,121/x
  3. Step 3: Cross multiply
    5,413x = 8,121 × 8,121
  4. Step 4: Simplify right side
    5,413x = 65,950,641
  5. Step 5: Solve for x
    x = 65,950,641/5,413
  6. Step 6: Final answer
    x = 12,183.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.