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Finding the Third Proportional to 4,000 and 5,732

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Solution

The third proportional to 4,000 and 5,732 is: 8,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000 : 5,732 = 5,732 : x
  2. Step 2: Convert to fraction form
    4,000/5,732 = 5,732/x
  3. Step 3: Cross multiply
    4,000x = 5,732 × 5,732
  4. Step 4: Simplify right side
    4,000x = 32,855,824
  5. Step 5: Solve for x
    x = 32,855,824/4,000
  6. Step 6: Final answer
    x = 8,213.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.