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Finding the Third Proportional to 11,563 and 24,879.50

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Solution

The third proportional to 11,563 and 24,879.50 is: 53,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563 : 24,879.50 = 24,879.50 : x
  2. Step 2: Convert to fraction form
    11,563/24,879.50 = 24,879.50/x
  3. Step 3: Cross multiply
    11,563x = 24,879.50 × 24,879.50
  4. Step 4: Simplify right side
    11,563x = 618,989,520.25
  5. Step 5: Solve for x
    x = 618,989,520.25/11,563
  6. Step 6: Final answer
    x = 53,531.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.