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Finding the Third Proportional to 37,361.25 and 55,890

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Solution

The third proportional to 37,361.25 and 55,890 is: 83,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,361.25 : 55,890 = 55,890 : x
  2. Step 2: Convert to fraction form
    37,361.25/55,890 = 55,890/x
  3. Step 3: Cross multiply
    37,361.25x = 55,890 × 55,890
  4. Step 4: Simplify right side
    37,361.25x = 3,123,692,100
  5. Step 5: Solve for x
    x = 3,123,692,100/37,361.25
  6. Step 6: Final answer
    x = 83,607.80

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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.