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Finding the Third Proportional to 2,733.75 and 5,999.30

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Solution

The third proportional to 2,733.75 and 5,999.30 is: 13,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.75 : 5,999.30 = 5,999.30 : x
  2. Step 2: Convert to fraction form
    2,733.75/5,999.30 = 5,999.30/x
  3. Step 3: Cross multiply
    2,733.75x = 5,999.30 × 5,999.30
  4. Step 4: Simplify right side
    2,733.75x = 35,991,598.15
  5. Step 5: Solve for x
    x = 35,991,598.15/2,733.75
  6. Step 6: Final answer
    x = 13,165.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.