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Finding the Third Proportional to 2,144 and 4,021

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Solution

The third proportional to 2,144 and 4,021 is: 7,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144 : 4,021 = 4,021 : x
  2. Step 2: Convert to fraction form
    2,144/4,021 = 4,021/x
  3. Step 3: Cross multiply
    2,144x = 4,021 × 4,021
  4. Step 4: Simplify right side
    2,144x = 16,168,441
  5. Step 5: Solve for x
    x = 16,168,441/2,144
  6. Step 6: Final answer
    x = 7,541.25

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.