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Finding the Third Proportional to 11,682.94 and 25,702.31

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Solution

The third proportional to 11,682.94 and 25,702.31 is: 56,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.94 : 25,702.31 = 25,702.31 : x
  2. Step 2: Convert to fraction form
    11,682.94/25,702.31 = 25,702.31/x
  3. Step 3: Cross multiply
    11,682.94x = 25,702.31 × 25,702.31
  4. Step 4: Simplify right side
    11,682.94x = 660,608,867.85
  5. Step 5: Solve for x
    x = 660,608,867.85/11,682.94
  6. Step 6: Final answer
    x = 56,544.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.