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Finding the Third Proportional to 37,195.50 and 55,874.50

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Solution

The third proportional to 37,195.50 and 55,874.50 is: 83,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,195.50 : 55,874.50 = 55,874.50 : x
  2. Step 2: Convert to fraction form
    37,195.50/55,874.50 = 55,874.50/x
  3. Step 3: Cross multiply
    37,195.50x = 55,874.50 × 55,874.50
  4. Step 4: Simplify right side
    37,195.50x = 3,121,959,750.25
  5. Step 5: Solve for x
    x = 3,121,959,750.25/37,195.50
  6. Step 6: Final answer
    x = 83,933.80

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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.