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Finding the Third Proportional to 4,078.69 and 5,983.03

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Solution

The third proportional to 4,078.69 and 5,983.03 is: 8,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.69 : 5,983.03 = 5,983.03 : x
  2. Step 2: Convert to fraction form
    4,078.69/5,983.03 = 5,983.03/x
  3. Step 3: Cross multiply
    4,078.69x = 5,983.03 × 5,983.03
  4. Step 4: Simplify right side
    4,078.69x = 35,796,662.94
  5. Step 5: Solve for x
    x = 35,796,662.94/4,078.69
  6. Step 6: Final answer
    x = 8,776.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.