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Finding the Third Proportional to 25,076.25 and 37,491.75

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Solution

The third proportional to 25,076.25 and 37,491.75 is: 56,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,076.25 : 37,491.75 = 37,491.75 : x
  2. Step 2: Convert to fraction form
    25,076.25/37,491.75 = 37,491.75/x
  3. Step 3: Cross multiply
    25,076.25x = 37,491.75 × 37,491.75
  4. Step 4: Simplify right side
    25,076.25x = 1,405,631,318.06
  5. Step 5: Solve for x
    x = 1,405,631,318.06/25,076.25
  6. Step 6: Final answer
    x = 56,054.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.