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Finding the Third Proportional to 2,065 and 4,325

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Solution

The third proportional to 2,065 and 4,325 is: 9,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065 : 4,325 = 4,325 : x
  2. Step 2: Convert to fraction form
    2,065/4,325 = 4,325/x
  3. Step 3: Cross multiply
    2,065x = 4,325 × 4,325
  4. Step 4: Simplify right side
    2,065x = 18,705,625
  5. Step 5: Solve for x
    x = 18,705,625/2,065
  6. Step 6: Final answer
    x = 9,058.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.