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Finding the Third Proportional to 3,093.98 and 5,461.80

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Solution

The third proportional to 3,093.98 and 5,461.80 is: 9,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.98 : 5,461.80 = 5,461.80 : x
  2. Step 2: Convert to fraction form
    3,093.98/5,461.80 = 5,461.80/x
  3. Step 3: Cross multiply
    3,093.98x = 5,461.80 × 5,461.80
  4. Step 4: Simplify right side
    3,093.98x = 29,831,310.44
  5. Step 5: Solve for x
    x = 29,831,310.44/3,093.98
  6. Step 6: Final answer
    x = 9,641.73

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.