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Finding the Third Proportional to 2,953.69 and 5,991.19

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Solution

The third proportional to 2,953.69 and 5,991.19 is: 12,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.69 : 5,991.19 = 5,991.19 : x
  2. Step 2: Convert to fraction form
    2,953.69/5,991.19 = 5,991.19/x
  3. Step 3: Cross multiply
    2,953.69x = 5,991.19 × 5,991.19
  4. Step 4: Simplify right side
    2,953.69x = 35,894,327.66
  5. Step 5: Solve for x
    x = 35,894,327.66/2,953.69
  6. Step 6: Final answer
    x = 12,152.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.