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Finding the Third Proportional to 3,360.94 and 7,311.09

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Solution

The third proportional to 3,360.94 and 7,311.09 is: 15,903.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,360.94 : 7,311.09 = 7,311.09 : x
  2. Step 2: Convert to fraction form
    3,360.94/7,311.09 = 7,311.09/x
  3. Step 3: Cross multiply
    3,360.94x = 7,311.09 × 7,311.09
  4. Step 4: Simplify right side
    3,360.94x = 53,452,091.82
  5. Step 5: Solve for x
    x = 53,452,091.82/3,360.94
  6. Step 6: Final answer
    x = 15,903.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.