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Finding the Third Proportional to 27,641.25 and 56,922.75

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Solution

The third proportional to 27,641.25 and 56,922.75 is: 117,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.25 : 56,922.75 = 56,922.75 : x
  2. Step 2: Convert to fraction form
    27,641.25/56,922.75 = 56,922.75/x
  3. Step 3: Cross multiply
    27,641.25x = 56,922.75 × 56,922.75
  4. Step 4: Simplify right side
    27,641.25x = 3,240,199,467.56
  5. Step 5: Solve for x
    x = 3,240,199,467.56/27,641.25
  6. Step 6: Final answer
    x = 117,223.33

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.