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Finding the Third Proportional to 2,305 and 3,004

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Solution

The third proportional to 2,305 and 3,004 is: 3,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305 : 3,004 = 3,004 : x
  2. Step 2: Convert to fraction form
    2,305/3,004 = 3,004/x
  3. Step 3: Cross multiply
    2,305x = 3,004 × 3,004
  4. Step 4: Simplify right side
    2,305x = 9,024,016
  5. Step 5: Solve for x
    x = 9,024,016/2,305
  6. Step 6: Final answer
    x = 3,914.97

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.