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Finding the Third Proportional to 2,258.06 and 5,439.56

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Solution

The third proportional to 2,258.06 and 5,439.56 is: 13,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.06 : 5,439.56 = 5,439.56 : x
  2. Step 2: Convert to fraction form
    2,258.06/5,439.56 = 5,439.56/x
  3. Step 3: Cross multiply
    2,258.06x = 5,439.56 × 5,439.56
  4. Step 4: Simplify right side
    2,258.06x = 29,588,840.19
  5. Step 5: Solve for x
    x = 29,588,840.19/2,258.06
  6. Step 6: Final answer
    x = 13,103.64

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.