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Finding the Third Proportional to 1,678.22 and 2,467.97

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Solution

The third proportional to 1,678.22 and 2,467.97 is: 3,629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.22 : 2,467.97 = 2,467.97 : x
  2. Step 2: Convert to fraction form
    1,678.22/2,467.97 = 2,467.97/x
  3. Step 3: Cross multiply
    1,678.22x = 2,467.97 × 2,467.97
  4. Step 4: Simplify right side
    1,678.22x = 6,090,869.75
  5. Step 5: Solve for x
    x = 6,090,869.75/1,678.22
  6. Step 6: Final answer
    x = 3,629.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.