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Finding the Third Proportional to 1,649.25 and 3,894.19

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Solution

The third proportional to 1,649.25 and 3,894.19 is: 9,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.25 : 3,894.19 = 3,894.19 : x
  2. Step 2: Convert to fraction form
    1,649.25/3,894.19 = 3,894.19/x
  3. Step 3: Cross multiply
    1,649.25x = 3,894.19 × 3,894.19
  4. Step 4: Simplify right side
    1,649.25x = 15,164,696.29
  5. Step 5: Solve for x
    x = 15,164,696.29/1,649.25
  6. Step 6: Final answer
    x = 9,194.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.