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Finding the Third Proportional to 1,649.25 and 3,941.44

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Solution

The third proportional to 1,649.25 and 3,941.44 is: 9,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.25 : 3,941.44 = 3,941.44 : x
  2. Step 2: Convert to fraction form
    1,649.25/3,941.44 = 3,941.44/x
  3. Step 3: Cross multiply
    1,649.25x = 3,941.44 × 3,941.44
  4. Step 4: Simplify right side
    1,649.25x = 15,534,929.57
  5. Step 5: Solve for x
    x = 15,534,929.57/1,649.25
  6. Step 6: Final answer
    x = 9,419.39

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.