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Finding the Third Proportional to 948 and 2,009

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Solution

The third proportional to 948 and 2,009 is: 4,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    948 : 2,009 = 2,009 : x
  2. Step 2: Convert to fraction form
    948/2,009 = 2,009/x
  3. Step 3: Cross multiply
    948x = 2,009 × 2,009
  4. Step 4: Simplify right side
    948x = 4,036,081
  5. Step 5: Solve for x
    x = 4,036,081/948
  6. Step 6: Final answer
    x = 4,257.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.