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Finding the Third Proportional to 2,084 and 2,780

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Solution

The third proportional to 2,084 and 2,780 is: 3,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084 : 2,780 = 2,780 : x
  2. Step 2: Convert to fraction form
    2,084/2,780 = 2,780/x
  3. Step 3: Cross multiply
    2,084x = 2,780 × 2,780
  4. Step 4: Simplify right side
    2,084x = 7,728,400
  5. Step 5: Solve for x
    x = 7,728,400/2,084
  6. Step 6: Final answer
    x = 3,708.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.