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Finding the Third Proportional to 6,443.25 and 13,730.25

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Solution

The third proportional to 6,443.25 and 13,730.25 is: 29,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.25 : 13,730.25 = 13,730.25 : x
  2. Step 2: Convert to fraction form
    6,443.25/13,730.25 = 13,730.25/x
  3. Step 3: Cross multiply
    6,443.25x = 13,730.25 × 13,730.25
  4. Step 4: Simplify right side
    6,443.25x = 188,519,765.06
  5. Step 5: Solve for x
    x = 188,519,765.06/6,443.25
  6. Step 6: Final answer
    x = 29,258.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.