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Finding the Third Proportional to 3,940 and 6,010

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Solution

The third proportional to 3,940 and 6,010 is: 9,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940 : 6,010 = 6,010 : x
  2. Step 2: Convert to fraction form
    3,940/6,010 = 6,010/x
  3. Step 3: Cross multiply
    3,940x = 6,010 × 6,010
  4. Step 4: Simplify right side
    3,940x = 36,120,100
  5. Step 5: Solve for x
    x = 36,120,100/3,940
  6. Step 6: Final answer
    x = 9,167.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.