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Finding the Third Proportional to 2,101.06 and 2,760.94

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Solution

The third proportional to 2,101.06 and 2,760.94 is: 3,628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.06 : 2,760.94 = 2,760.94 : x
  2. Step 2: Convert to fraction form
    2,101.06/2,760.94 = 2,760.94/x
  3. Step 3: Cross multiply
    2,101.06x = 2,760.94 × 2,760.94
  4. Step 4: Simplify right side
    2,101.06x = 7,622,775.88
  5. Step 5: Solve for x
    x = 7,622,775.88/2,101.06
  6. Step 6: Final answer
    x = 3,628.06

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.