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Finding the Third Proportional to 1,388.25 and 2,998.69

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Solution

The third proportional to 1,388.25 and 2,998.69 is: 6,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.25 : 2,998.69 = 2,998.69 : x
  2. Step 2: Convert to fraction form
    1,388.25/2,998.69 = 2,998.69/x
  3. Step 3: Cross multiply
    1,388.25x = 2,998.69 × 2,998.69
  4. Step 4: Simplify right side
    1,388.25x = 8,992,126.72
  5. Step 5: Solve for x
    x = 8,992,126.72/1,388.25
  6. Step 6: Final answer
    x = 6,477.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.