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Finding the Third Proportional to 2,749.78 and 6,010.03

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Solution

The third proportional to 2,749.78 and 6,010.03 is: 13,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.78 : 6,010.03 = 6,010.03 : x
  2. Step 2: Convert to fraction form
    2,749.78/6,010.03 = 6,010.03/x
  3. Step 3: Cross multiply
    2,749.78x = 6,010.03 × 6,010.03
  4. Step 4: Simplify right side
    2,749.78x = 36,120,475.63
  5. Step 5: Solve for x
    x = 36,120,475.63/2,749.78
  6. Step 6: Final answer
    x = 13,135.76

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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.