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Finding the Third Proportional to 11,765.75 and 25,899.75

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Solution

The third proportional to 11,765.75 and 25,899.75 is: 57,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.75 : 25,899.75 = 25,899.75 : x
  2. Step 2: Convert to fraction form
    11,765.75/25,899.75 = 25,899.75/x
  3. Step 3: Cross multiply
    11,765.75x = 25,899.75 × 25,899.75
  4. Step 4: Simplify right side
    11,765.75x = 670,797,050.06
  5. Step 5: Solve for x
    x = 670,797,050.06/11,765.75
  6. Step 6: Final answer
    x = 57,012.69

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Why These Related Problems?

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