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Finding the Third Proportional to 25,467.75 and 54,823.50

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Solution

The third proportional to 25,467.75 and 54,823.50 is: 118,016.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,467.75 : 54,823.50 = 54,823.50 : x
  2. Step 2: Convert to fraction form
    25,467.75/54,823.50 = 54,823.50/x
  3. Step 3: Cross multiply
    25,467.75x = 54,823.50 × 54,823.50
  4. Step 4: Simplify right side
    25,467.75x = 3,005,616,152.25
  5. Step 5: Solve for x
    x = 3,005,616,152.25/25,467.75
  6. Step 6: Final answer
    x = 118,016.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.