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Finding the Third Proportional to 2,621.75 and 4,091.25

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Solution

The third proportional to 2,621.75 and 4,091.25 is: 6,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.75 : 4,091.25 = 4,091.25 : x
  2. Step 2: Convert to fraction form
    2,621.75/4,091.25 = 4,091.25/x
  3. Step 3: Cross multiply
    2,621.75x = 4,091.25 × 4,091.25
  4. Step 4: Simplify right side
    2,621.75x = 16,738,326.56
  5. Step 5: Solve for x
    x = 16,738,326.56/2,621.75
  6. Step 6: Final answer
    x = 6,384.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.