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Finding the Third Proportional to 25,665.75 and 37,611.84

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Solution

The third proportional to 25,665.75 and 37,611.84 is: 55,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,665.75 : 37,611.84 = 37,611.84 : x
  2. Step 2: Convert to fraction form
    25,665.75/37,611.84 = 37,611.84/x
  3. Step 3: Cross multiply
    25,665.75x = 37,611.84 × 37,611.84
  4. Step 4: Simplify right side
    25,665.75x = 1,414,650,790.27
  5. Step 5: Solve for x
    x = 1,414,650,790.27/25,665.75
  6. Step 6: Final answer
    x = 55,118.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.