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Finding the Third Proportional to 2,084 and 4,489

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Solution

The third proportional to 2,084 and 4,489 is: 9,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084 : 4,489 = 4,489 : x
  2. Step 2: Convert to fraction form
    2,084/4,489 = 4,489/x
  3. Step 3: Cross multiply
    2,084x = 4,489 × 4,489
  4. Step 4: Simplify right side
    2,084x = 20,151,121
  5. Step 5: Solve for x
    x = 20,151,121/2,084
  6. Step 6: Final answer
    x = 9,669.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.