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Finding the Third Proportional to 37,372.50 and 54,619.50

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Solution

The third proportional to 37,372.50 and 54,619.50 is: 79,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,372.50 : 54,619.50 = 54,619.50 : x
  2. Step 2: Convert to fraction form
    37,372.50/54,619.50 = 54,619.50/x
  3. Step 3: Cross multiply
    37,372.50x = 54,619.50 × 54,619.50
  4. Step 4: Simplify right side
    37,372.50x = 2,983,289,780.25
  5. Step 5: Solve for x
    x = 2,983,289,780.25/37,372.50
  6. Step 6: Final answer
    x = 79,825.80

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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.