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Finding the Third Proportional to 3,258 and 5,022.75

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Solution

The third proportional to 3,258 and 5,022.75 is: 7,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258 : 5,022.75 = 5,022.75 : x
  2. Step 2: Convert to fraction form
    3,258/5,022.75 = 5,022.75/x
  3. Step 3: Cross multiply
    3,258x = 5,022.75 × 5,022.75
  4. Step 4: Simplify right side
    3,258x = 25,228,017.56
  5. Step 5: Solve for x
    x = 25,228,017.56/3,258
  6. Step 6: Final answer
    x = 7,743.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.