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Finding the Third Proportional to 3,000 and 7,011

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Solution

The third proportional to 3,000 and 7,011 is: 16,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000 : 7,011 = 7,011 : x
  2. Step 2: Convert to fraction form
    3,000/7,011 = 7,011/x
  3. Step 3: Cross multiply
    3,000x = 7,011 × 7,011
  4. Step 4: Simplify right side
    3,000x = 49,154,121
  5. Step 5: Solve for x
    x = 49,154,121/3,000
  6. Step 6: Final answer
    x = 16,384.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.