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Finding the Third Proportional to 5,166 and 8,619

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Solution

The third proportional to 5,166 and 8,619 is: 14,380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166 : 8,619 = 8,619 : x
  2. Step 2: Convert to fraction form
    5,166/8,619 = 8,619/x
  3. Step 3: Cross multiply
    5,166x = 8,619 × 8,619
  4. Step 4: Simplify right side
    5,166x = 74,287,161
  5. Step 5: Solve for x
    x = 74,287,161/5,166
  6. Step 6: Final answer
    x = 14,380.02

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.