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Finding the Third Proportional to 2,750.63 and 6,023.25

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Solution

The third proportional to 2,750.63 and 6,023.25 is: 13,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.63 : 6,023.25 = 6,023.25 : x
  2. Step 2: Convert to fraction form
    2,750.63/6,023.25 = 6,023.25/x
  3. Step 3: Cross multiply
    2,750.63x = 6,023.25 × 6,023.25
  4. Step 4: Simplify right side
    2,750.63x = 36,279,540.56
  5. Step 5: Solve for x
    x = 36,279,540.56/2,750.63
  6. Step 6: Final answer
    x = 13,189.56

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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.