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Finding the Third Proportional to 2,093.34 and 3,239.89

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Solution

The third proportional to 2,093.34 and 3,239.89 is: 5,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.34 : 3,239.89 = 3,239.89 : x
  2. Step 2: Convert to fraction form
    2,093.34/3,239.89 = 3,239.89/x
  3. Step 3: Cross multiply
    2,093.34x = 3,239.89 × 3,239.89
  4. Step 4: Simplify right side
    2,093.34x = 10,496,916.57
  5. Step 5: Solve for x
    x = 10,496,916.57/2,093.34
  6. Step 6: Final answer
    x = 5,014.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.