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Finding the Third Proportional to 6,007 and 12,937

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Solution

The third proportional to 6,007 and 12,937 is: 27,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007 : 12,937 = 12,937 : x
  2. Step 2: Convert to fraction form
    6,007/12,937 = 12,937/x
  3. Step 3: Cross multiply
    6,007x = 12,937 × 12,937
  4. Step 4: Simplify right side
    6,007x = 167,365,969
  5. Step 5: Solve for x
    x = 167,365,969/6,007
  6. Step 6: Final answer
    x = 27,861.82

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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.