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Finding the Third Proportional to 3,481.52 and 7,623.60

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Solution

The third proportional to 3,481.52 and 7,623.60 is: 16,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.52 : 7,623.60 = 7,623.60 : x
  2. Step 2: Convert to fraction form
    3,481.52/7,623.60 = 7,623.60/x
  3. Step 3: Cross multiply
    3,481.52x = 7,623.60 × 7,623.60
  4. Step 4: Simplify right side
    3,481.52x = 58,119,241.22
  5. Step 5: Solve for x
    x = 58,119,241.22/3,481.52
  6. Step 6: Final answer
    x = 16,693.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.