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Finding the Third Proportional to 46,413.50 and 95,286

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Solution

The third proportional to 46,413.50 and 95,286 is: 195,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,413.50 : 95,286 = 95,286 : x
  2. Step 2: Convert to fraction form
    46,413.50/95,286 = 95,286/x
  3. Step 3: Cross multiply
    46,413.50x = 95,286 × 95,286
  4. Step 4: Simplify right side
    46,413.50x = 9,079,421,796
  5. Step 5: Solve for x
    x = 9,079,421,796/46,413.50
  6. Step 6: Final answer
    x = 195,620.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.