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Finding the Third Proportional to 5,409 and 8,113

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Solution

The third proportional to 5,409 and 8,113 is: 12,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409 : 8,113 = 8,113 : x
  2. Step 2: Convert to fraction form
    5,409/8,113 = 8,113/x
  3. Step 3: Cross multiply
    5,409x = 8,113 × 8,113
  4. Step 4: Simplify right side
    5,409x = 65,820,769
  5. Step 5: Solve for x
    x = 65,820,769/5,409
  6. Step 6: Final answer
    x = 12,168.75

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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.