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Finding the Third Proportional to 7,958.25 and 18,583.88

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Solution

The third proportional to 7,958.25 and 18,583.88 is: 43,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.25 : 18,583.88 = 18,583.88 : x
  2. Step 2: Convert to fraction form
    7,958.25/18,583.88 = 18,583.88/x
  3. Step 3: Cross multiply
    7,958.25x = 18,583.88 × 18,583.88
  4. Step 4: Simplify right side
    7,958.25x = 345,360,410.02
  5. Step 5: Solve for x
    x = 345,360,410.02/7,958.25
  6. Step 6: Final answer
    x = 43,396.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.