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Finding the Third Proportional to 4,213 and 5,722

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Solution

The third proportional to 4,213 and 5,722 is: 7,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213 : 5,722 = 5,722 : x
  2. Step 2: Convert to fraction form
    4,213/5,722 = 5,722/x
  3. Step 3: Cross multiply
    4,213x = 5,722 × 5,722
  4. Step 4: Simplify right side
    4,213x = 32,741,284
  5. Step 5: Solve for x
    x = 32,741,284/4,213
  6. Step 6: Final answer
    x = 7,771.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.