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Finding the Third Proportional to 4,014 and 5,745

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Solution

The third proportional to 4,014 and 5,745 is: 8,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014 : 5,745 = 5,745 : x
  2. Step 2: Convert to fraction form
    4,014/5,745 = 5,745/x
  3. Step 3: Cross multiply
    4,014x = 5,745 × 5,745
  4. Step 4: Simplify right side
    4,014x = 33,005,025
  5. Step 5: Solve for x
    x = 33,005,025/4,014
  6. Step 6: Final answer
    x = 8,222.48

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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.