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Finding the Third Proportional to 5,482.69 and 6,667.31

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Solution

The third proportional to 5,482.69 and 6,667.31 is: 8,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.69 : 6,667.31 = 6,667.31 : x
  2. Step 2: Convert to fraction form
    5,482.69/6,667.31 = 6,667.31/x
  3. Step 3: Cross multiply
    5,482.69x = 6,667.31 × 6,667.31
  4. Step 4: Simplify right side
    5,482.69x = 44,453,055.97
  5. Step 5: Solve for x
    x = 44,453,055.97/5,482.69
  6. Step 6: Final answer
    x = 8,107.90

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.