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Finding the Third Proportional to 3,403.69 and 5,205.94

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Solution

The third proportional to 3,403.69 and 5,205.94 is: 7,962.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.69 : 5,205.94 = 5,205.94 : x
  2. Step 2: Convert to fraction form
    3,403.69/5,205.94 = 5,205.94/x
  3. Step 3: Cross multiply
    3,403.69x = 5,205.94 × 5,205.94
  4. Step 4: Simplify right side
    3,403.69x = 27,101,785.25
  5. Step 5: Solve for x
    x = 27,101,785.25/3,403.69
  6. Step 6: Final answer
    x = 7,962.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.