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Finding the Third Proportional to 3,101.06 and 4,761.56

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Solution

The third proportional to 3,101.06 and 4,761.56 is: 7,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.06 : 4,761.56 = 4,761.56 : x
  2. Step 2: Convert to fraction form
    3,101.06/4,761.56 = 4,761.56/x
  3. Step 3: Cross multiply
    3,101.06x = 4,761.56 × 4,761.56
  4. Step 4: Simplify right side
    3,101.06x = 22,672,477.44
  5. Step 5: Solve for x
    x = 22,672,477.44/3,101.06
  6. Step 6: Final answer
    x = 7,311.20

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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.