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Finding the Third Proportional to 2,009.50 and 4,694.75

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Solution

The third proportional to 2,009.50 and 4,694.75 is: 10,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.50 : 4,694.75 = 4,694.75 : x
  2. Step 2: Convert to fraction form
    2,009.50/4,694.75 = 4,694.75/x
  3. Step 3: Cross multiply
    2,009.50x = 4,694.75 × 4,694.75
  4. Step 4: Simplify right side
    2,009.50x = 22,040,677.56
  5. Step 5: Solve for x
    x = 22,040,677.56/2,009.50
  6. Step 6: Final answer
    x = 10,968.24

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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.