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Finding the Third Proportional to 2,133 and 4,274

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Solution

The third proportional to 2,133 and 4,274 is: 8,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133 : 4,274 = 4,274 : x
  2. Step 2: Convert to fraction form
    2,133/4,274 = 4,274/x
  3. Step 3: Cross multiply
    2,133x = 4,274 × 4,274
  4. Step 4: Simplify right side
    2,133x = 18,267,076
  5. Step 5: Solve for x
    x = 18,267,076/2,133
  6. Step 6: Final answer
    x = 8,564.03

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.