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Finding the Third Proportional to 3,393.56 and 7,325.44

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Solution

The third proportional to 3,393.56 and 7,325.44 is: 15,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.56 : 7,325.44 = 7,325.44 : x
  2. Step 2: Convert to fraction form
    3,393.56/7,325.44 = 7,325.44/x
  3. Step 3: Cross multiply
    3,393.56x = 7,325.44 × 7,325.44
  4. Step 4: Simplify right side
    3,393.56x = 53,662,034.57
  5. Step 5: Solve for x
    x = 53,662,034.57/3,393.56
  6. Step 6: Final answer
    x = 15,812.89

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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.