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Finding the Third Proportional to 25,467.75 and 55,174.50

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Solution

The third proportional to 25,467.75 and 55,174.50 is: 119,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,467.75 : 55,174.50 = 55,174.50 : x
  2. Step 2: Convert to fraction form
    25,467.75/55,174.50 = 55,174.50/x
  3. Step 3: Cross multiply
    25,467.75x = 55,174.50 × 55,174.50
  4. Step 4: Simplify right side
    25,467.75x = 3,044,225,450.25
  5. Step 5: Solve for x
    x = 3,044,225,450.25/25,467.75
  6. Step 6: Final answer
    x = 119,532.56

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