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Finding the Third Proportional to 25,494.25 and 55,225

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Solution

The third proportional to 25,494.25 and 55,225 is: 119,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.25 : 55,225 = 55,225 : x
  2. Step 2: Convert to fraction form
    25,494.25/55,225 = 55,225/x
  3. Step 3: Cross multiply
    25,494.25x = 55,225 × 55,225
  4. Step 4: Simplify right side
    25,494.25x = 3,049,800,625
  5. Step 5: Solve for x
    x = 3,049,800,625/25,494.25
  6. Step 6: Final answer
    x = 119,627.00

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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.