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Finding the Third Proportional to 25,751.25 and 54,271.69

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Solution

The third proportional to 25,751.25 and 54,271.69 is: 114,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,751.25 : 54,271.69 = 54,271.69 : x
  2. Step 2: Convert to fraction form
    25,751.25/54,271.69 = 54,271.69/x
  3. Step 3: Cross multiply
    25,751.25x = 54,271.69 × 54,271.69
  4. Step 4: Simplify right side
    25,751.25x = 2,945,416,064.10
  5. Step 5: Solve for x
    x = 2,945,416,064.10/25,751.25
  6. Step 6: Final answer
    x = 114,379.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.