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Finding the Third Proportional to 6,258.38 and 13,379.63

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Solution

The third proportional to 6,258.38 and 13,379.63 is: 28,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.38 : 13,379.63 = 13,379.63 : x
  2. Step 2: Convert to fraction form
    6,258.38/13,379.63 = 13,379.63/x
  3. Step 3: Cross multiply
    6,258.38x = 13,379.63 × 13,379.63
  4. Step 4: Simplify right side
    6,258.38x = 179,014,365.14
  5. Step 5: Solve for x
    x = 179,014,365.14/6,258.38
  6. Step 6: Final answer
    x = 28,603.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.