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Finding the Third Proportional to 1,813.01 and 3,676.01

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Solution

The third proportional to 1,813.01 and 3,676.01 is: 7,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.01 : 3,676.01 = 3,676.01 : x
  2. Step 2: Convert to fraction form
    1,813.01/3,676.01 = 3,676.01/x
  3. Step 3: Cross multiply
    1,813.01x = 3,676.01 × 3,676.01
  4. Step 4: Simplify right side
    1,813.01x = 13,513,033.44
  5. Step 5: Solve for x
    x = 13,513,033.44/1,813.01
  6. Step 6: Final answer
    x = 7,453.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.