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Finding the Third Proportional to 12,129.75 and 25,413.75

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Solution

The third proportional to 12,129.75 and 25,413.75 is: 53,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.75 : 25,413.75 = 25,413.75 : x
  2. Step 2: Convert to fraction form
    12,129.75/25,413.75 = 25,413.75/x
  3. Step 3: Cross multiply
    12,129.75x = 25,413.75 × 25,413.75
  4. Step 4: Simplify right side
    12,129.75x = 645,858,689.06
  5. Step 5: Solve for x
    x = 645,858,689.06/12,129.75
  6. Step 6: Final answer
    x = 53,245.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.