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Finding the Third Proportional to 3,812 and 5,732

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Solution

The third proportional to 3,812 and 5,732 is: 8,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812 : 5,732 = 5,732 : x
  2. Step 2: Convert to fraction form
    3,812/5,732 = 5,732/x
  3. Step 3: Cross multiply
    3,812x = 5,732 × 5,732
  4. Step 4: Simplify right side
    3,812x = 32,855,824
  5. Step 5: Solve for x
    x = 32,855,824/3,812
  6. Step 6: Final answer
    x = 8,619.05

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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.