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Finding the Third Proportional to 4,000 and 5,144

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Solution

The third proportional to 4,000 and 5,144 is: 6,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000 : 5,144 = 5,144 : x
  2. Step 2: Convert to fraction form
    4,000/5,144 = 5,144/x
  3. Step 3: Cross multiply
    4,000x = 5,144 × 5,144
  4. Step 4: Simplify right side
    4,000x = 26,460,736
  5. Step 5: Solve for x
    x = 26,460,736/4,000
  6. Step 6: Final answer
    x = 6,615.18

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.