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Finding the Third Proportional to 3,256.03 and 5,059.97

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Solution

The third proportional to 3,256.03 and 5,059.97 is: 7,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.03 : 5,059.97 = 5,059.97 : x
  2. Step 2: Convert to fraction form
    3,256.03/5,059.97 = 5,059.97/x
  3. Step 3: Cross multiply
    3,256.03x = 5,059.97 × 5,059.97
  4. Step 4: Simplify right side
    3,256.03x = 25,603,283.75
  5. Step 5: Solve for x
    x = 25,603,283.75/3,256.03
  6. Step 6: Final answer
    x = 7,863.34

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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.