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Finding the Third Proportional to 2,161.69 and 3,365.30

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Solution

The third proportional to 2,161.69 and 3,365.30 is: 5,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.69 : 3,365.30 = 3,365.30 : x
  2. Step 2: Convert to fraction form
    2,161.69/3,365.30 = 3,365.30/x
  3. Step 3: Cross multiply
    2,161.69x = 3,365.30 × 3,365.30
  4. Step 4: Simplify right side
    2,161.69x = 11,325,223.06
  5. Step 5: Solve for x
    x = 11,325,223.06/2,161.69
  6. Step 6: Final answer
    x = 5,239.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.