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Finding the Third Proportional to 5,411 and 8,117

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Solution

The third proportional to 5,411 and 8,117 is: 12,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411 : 8,117 = 8,117 : x
  2. Step 2: Convert to fraction form
    5,411/8,117 = 8,117/x
  3. Step 3: Cross multiply
    5,411x = 8,117 × 8,117
  4. Step 4: Simplify right side
    5,411x = 65,885,689
  5. Step 5: Solve for x
    x = 65,885,689/5,411
  6. Step 6: Final answer
    x = 12,176.25

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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.