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Finding the Third Proportional to 2,091.66 and 4,152.94

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Solution

The third proportional to 2,091.66 and 4,152.94 is: 8,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.66 : 4,152.94 = 4,152.94 : x
  2. Step 2: Convert to fraction form
    2,091.66/4,152.94 = 4,152.94/x
  3. Step 3: Cross multiply
    2,091.66x = 4,152.94 × 4,152.94
  4. Step 4: Simplify right side
    2,091.66x = 17,246,889.88
  5. Step 5: Solve for x
    x = 17,246,889.88/2,091.66
  6. Step 6: Final answer
    x = 8,245.57

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.