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Finding the Third Proportional to 3,277.34 and 7,073.37

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Solution

The third proportional to 3,277.34 and 7,073.37 is: 15,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.34 : 7,073.37 = 7,073.37 : x
  2. Step 2: Convert to fraction form
    3,277.34/7,073.37 = 7,073.37/x
  3. Step 3: Cross multiply
    3,277.34x = 7,073.37 × 7,073.37
  4. Step 4: Simplify right side
    3,277.34x = 50,032,523.37
  5. Step 5: Solve for x
    x = 50,032,523.37/3,277.34
  6. Step 6: Final answer
    x = 15,266.22

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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.