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Finding the Third Proportional to 1,783.69 and 3,680.44

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Solution

The third proportional to 1,783.69 and 3,680.44 is: 7,594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.69 : 3,680.44 = 3,680.44 : x
  2. Step 2: Convert to fraction form
    1,783.69/3,680.44 = 3,680.44/x
  3. Step 3: Cross multiply
    1,783.69x = 3,680.44 × 3,680.44
  4. Step 4: Simplify right side
    1,783.69x = 13,545,620.19
  5. Step 5: Solve for x
    x = 13,545,620.19/1,783.69
  6. Step 6: Final answer
    x = 7,594.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.