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Finding the Third Proportional to 3,133.69 and 3,336.19

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Solution

The third proportional to 3,133.69 and 3,336.19 is: 3,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.69 : 3,336.19 = 3,336.19 : x
  2. Step 2: Convert to fraction form
    3,133.69/3,336.19 = 3,336.19/x
  3. Step 3: Cross multiply
    3,133.69x = 3,336.19 × 3,336.19
  4. Step 4: Simplify right side
    3,133.69x = 11,130,147.04
  5. Step 5: Solve for x
    x = 11,130,147.04/3,133.69
  6. Step 6: Final answer
    x = 3,551.77

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.