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Finding the Third Proportional to 3,083.06 and 4,761.56

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Solution

The third proportional to 3,083.06 and 4,761.56 is: 7,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.06 : 4,761.56 = 4,761.56 : x
  2. Step 2: Convert to fraction form
    3,083.06/4,761.56 = 4,761.56/x
  3. Step 3: Cross multiply
    3,083.06x = 4,761.56 × 4,761.56
  4. Step 4: Simplify right side
    3,083.06x = 22,672,477.44
  5. Step 5: Solve for x
    x = 22,672,477.44/3,083.06
  6. Step 6: Final answer
    x = 7,353.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.