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Finding the Third Proportional to 3,084 and 5,011

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Solution

The third proportional to 3,084 and 5,011 is: 8,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084 : 5,011 = 5,011 : x
  2. Step 2: Convert to fraction form
    3,084/5,011 = 5,011/x
  3. Step 3: Cross multiply
    3,084x = 5,011 × 5,011
  4. Step 4: Simplify right side
    3,084x = 25,110,121
  5. Step 5: Solve for x
    x = 25,110,121/3,084
  6. Step 6: Final answer
    x = 8,142.06

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.