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Finding the Third Proportional to 3,450.09 and 5,177.04

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Solution

The third proportional to 3,450.09 and 5,177.04 is: 7,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.09 : 5,177.04 = 5,177.04 : x
  2. Step 2: Convert to fraction form
    3,450.09/5,177.04 = 5,177.04/x
  3. Step 3: Cross multiply
    3,450.09x = 5,177.04 × 5,177.04
  4. Step 4: Simplify right side
    3,450.09x = 26,801,733.45
  5. Step 5: Solve for x
    x = 26,801,733.45/3,450.09
  6. Step 6: Final answer
    x = 7,768.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.