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Finding the Third Proportional to 1,685.44 and 3,626.44

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Solution

The third proportional to 1,685.44 and 3,626.44 is: 7,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.44 : 3,626.44 = 3,626.44 : x
  2. Step 2: Convert to fraction form
    1,685.44/3,626.44 = 3,626.44/x
  3. Step 3: Cross multiply
    1,685.44x = 3,626.44 × 3,626.44
  4. Step 4: Simplify right side
    1,685.44x = 13,151,048.94
  5. Step 5: Solve for x
    x = 13,151,048.94/1,685.44
  6. Step 6: Final answer
    x = 7,802.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.