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Finding the Third Proportional to 46,009 and 69,245

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Solution

The third proportional to 46,009 and 69,245 is: 104,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,009 : 69,245 = 69,245 : x
  2. Step 2: Convert to fraction form
    46,009/69,245 = 69,245/x
  3. Step 3: Cross multiply
    46,009x = 69,245 × 69,245
  4. Step 4: Simplify right side
    46,009x = 4,794,870,025
  5. Step 5: Solve for x
    x = 4,794,870,025/46,009
  6. Step 6: Final answer
    x = 104,215.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.