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Finding the Third Proportional to 2,176.31 and 2,768.06

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Solution

The third proportional to 2,176.31 and 2,768.06 is: 3,520.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.31 : 2,768.06 = 2,768.06 : x
  2. Step 2: Convert to fraction form
    2,176.31/2,768.06 = 2,768.06/x
  3. Step 3: Cross multiply
    2,176.31x = 2,768.06 × 2,768.06
  4. Step 4: Simplify right side
    2,176.31x = 7,662,170.00
  5. Step 5: Solve for x
    x = 7,662,170.00/2,176.31
  6. Step 6: Final answer
    x = 3,520.71

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.