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Finding the Third Proportional to 37,212 and 55,938

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Solution

The third proportional to 37,212 and 55,938 is: 84,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,212 : 55,938 = 55,938 : x
  2. Step 2: Convert to fraction form
    37,212/55,938 = 55,938/x
  3. Step 3: Cross multiply
    37,212x = 55,938 × 55,938
  4. Step 4: Simplify right side
    37,212x = 3,129,059,844
  5. Step 5: Solve for x
    x = 3,129,059,844/37,212
  6. Step 6: Final answer
    x = 84,087.39

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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.