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Finding the Third Proportional to 11,628.75 and 25,187.25

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Solution

The third proportional to 11,628.75 and 25,187.25 is: 54,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.75 : 25,187.25 = 25,187.25 : x
  2. Step 2: Convert to fraction form
    11,628.75/25,187.25 = 25,187.25/x
  3. Step 3: Cross multiply
    11,628.75x = 25,187.25 × 25,187.25
  4. Step 4: Simplify right side
    11,628.75x = 634,397,562.56
  5. Step 5: Solve for x
    x = 634,397,562.56/11,628.75
  6. Step 6: Final answer
    x = 54,554.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.