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Finding the Third Proportional to 2,610.44 and 4,048.22

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Solution

The third proportional to 2,610.44 and 4,048.22 is: 6,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.44 : 4,048.22 = 4,048.22 : x
  2. Step 2: Convert to fraction form
    2,610.44/4,048.22 = 4,048.22/x
  3. Step 3: Cross multiply
    2,610.44x = 4,048.22 × 4,048.22
  4. Step 4: Simplify right side
    2,610.44x = 16,388,075.05
  5. Step 5: Solve for x
    x = 16,388,075.05/2,610.44
  6. Step 6: Final answer
    x = 6,277.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.