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Finding the Third Proportional to 6,911.58 and 10,374.33

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Solution

The third proportional to 6,911.58 and 10,374.33 is: 15,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.58 : 10,374.33 = 10,374.33 : x
  2. Step 2: Convert to fraction form
    6,911.58/10,374.33 = 10,374.33/x
  3. Step 3: Cross multiply
    6,911.58x = 10,374.33 × 10,374.33
  4. Step 4: Simplify right side
    6,911.58x = 107,626,684.05
  5. Step 5: Solve for x
    x = 107,626,684.05/6,911.58
  6. Step 6: Final answer
    x = 15,571.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.