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Finding the Third Proportional to 1,223.23 and 2,676.80

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Solution

The third proportional to 1,223.23 and 2,676.80 is: 5,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.23 : 2,676.80 = 2,676.80 : x
  2. Step 2: Convert to fraction form
    1,223.23/2,676.80 = 2,676.80/x
  3. Step 3: Cross multiply
    1,223.23x = 2,676.80 × 2,676.80
  4. Step 4: Simplify right side
    1,223.23x = 7,165,241.51
  5. Step 5: Solve for x
    x = 7,165,241.51/1,223.23
  6. Step 6: Final answer
    x = 5,857.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.