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Finding the Third Proportional to 37,037.25 and 54,164.25

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Solution

The third proportional to 37,037.25 and 54,164.25 is: 79,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,037.25 : 54,164.25 = 54,164.25 : x
  2. Step 2: Convert to fraction form
    37,037.25/54,164.25 = 54,164.25/x
  3. Step 3: Cross multiply
    37,037.25x = 54,164.25 × 54,164.25
  4. Step 4: Simplify right side
    37,037.25x = 2,933,765,978.06
  5. Step 5: Solve for x
    x = 2,933,765,978.06/37,037.25
  6. Step 6: Final answer
    x = 79,211.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.