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Finding the Third Proportional to 5,736 and 8,604

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Solution

The third proportional to 5,736 and 8,604 is: 12,906

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736 : 8,604 = 8,604 : x
  2. Step 2: Convert to fraction form
    5,736/8,604 = 8,604/x
  3. Step 3: Cross multiply
    5,736x = 8,604 × 8,604
  4. Step 4: Simplify right side
    5,736x = 74,028,816
  5. Step 5: Solve for x
    x = 74,028,816/5,736
  6. Step 6: Final answer
    x = 12,906

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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.