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Finding the Third Proportional to 11,568.94 and 24,345.56

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Solution

The third proportional to 11,568.94 and 24,345.56 is: 51,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.94 : 24,345.56 = 24,345.56 : x
  2. Step 2: Convert to fraction form
    11,568.94/24,345.56 = 24,345.56/x
  3. Step 3: Cross multiply
    11,568.94x = 24,345.56 × 24,345.56
  4. Step 4: Simplify right side
    11,568.94x = 592,706,413.44
  5. Step 5: Solve for x
    x = 592,706,413.44/11,568.94
  6. Step 6: Final answer
    x = 51,232.57

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