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Finding the Third Proportional to 37,324 and 55,962

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Solution

The third proportional to 37,324 and 55,962 is: 83,907.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,324 : 55,962 = 55,962 : x
  2. Step 2: Convert to fraction form
    37,324/55,962 = 55,962/x
  3. Step 3: Cross multiply
    37,324x = 55,962 × 55,962
  4. Step 4: Simplify right side
    37,324x = 3,131,745,444
  5. Step 5: Solve for x
    x = 3,131,745,444/37,324
  6. Step 6: Final answer
    x = 83,907.02

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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.