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Finding the Third Proportional to 20,413.42 and 43,594.77

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Solution

The third proportional to 20,413.42 and 43,594.77 is: 93,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.42 : 43,594.77 = 43,594.77 : x
  2. Step 2: Convert to fraction form
    20,413.42/43,594.77 = 43,594.77/x
  3. Step 3: Cross multiply
    20,413.42x = 43,594.77 × 43,594.77
  4. Step 4: Simplify right side
    20,413.42x = 1,900,503,930.48
  5. Step 5: Solve for x
    x = 1,900,503,930.48/20,413.42
  6. Step 6: Final answer
    x = 93,100.69

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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.