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Finding the Third Proportional to 6,480.84 and 13,984.31

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Solution

The third proportional to 6,480.84 and 13,984.31 is: 30,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.84 : 13,984.31 = 13,984.31 : x
  2. Step 2: Convert to fraction form
    6,480.84/13,984.31 = 13,984.31/x
  3. Step 3: Cross multiply
    6,480.84x = 13,984.31 × 13,984.31
  4. Step 4: Simplify right side
    6,480.84x = 195,560,996.10
  5. Step 5: Solve for x
    x = 195,560,996.10/6,480.84
  6. Step 6: Final answer
    x = 30,175.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.