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Finding the Third Proportional to 39,413.44 and 56,659.78

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Solution

The third proportional to 39,413.44 and 56,659.78 is: 81,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,413.44 : 56,659.78 = 56,659.78 : x
  2. Step 2: Convert to fraction form
    39,413.44/56,659.78 = 56,659.78/x
  3. Step 3: Cross multiply
    39,413.44x = 56,659.78 × 56,659.78
  4. Step 4: Simplify right side
    39,413.44x = 3,210,330,811.30
  5. Step 5: Solve for x
    x = 3,210,330,811.30/39,413.44
  6. Step 6: Final answer
    x = 81,452.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.