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Finding the Third Proportional to 6,824.41 and 9,170.88

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Solution

The third proportional to 6,824.41 and 9,170.88 is: 12,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.41 : 9,170.88 = 9,170.88 : x
  2. Step 2: Convert to fraction form
    6,824.41/9,170.88 = 9,170.88/x
  3. Step 3: Cross multiply
    6,824.41x = 9,170.88 × 9,170.88
  4. Step 4: Simplify right side
    6,824.41x = 84,104,984.09
  5. Step 5: Solve for x
    x = 84,104,984.09/6,824.41
  6. Step 6: Final answer
    x = 12,324.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.