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Finding the Third Proportional to 3,370.20 and 7,009.51

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Solution

The third proportional to 3,370.20 and 7,009.51 is: 14,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.20 : 7,009.51 = 7,009.51 : x
  2. Step 2: Convert to fraction form
    3,370.20/7,009.51 = 7,009.51/x
  3. Step 3: Cross multiply
    3,370.20x = 7,009.51 × 7,009.51
  4. Step 4: Simplify right side
    3,370.20x = 49,133,172.39
  5. Step 5: Solve for x
    x = 49,133,172.39/3,370.20
  6. Step 6: Final answer
    x = 14,578.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.