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Finding the Third Proportional to 37,868 and 52,962

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Solution

The third proportional to 37,868 and 52,962 is: 74,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,868 : 52,962 = 52,962 : x
  2. Step 2: Convert to fraction form
    37,868/52,962 = 52,962/x
  3. Step 3: Cross multiply
    37,868x = 52,962 × 52,962
  4. Step 4: Simplify right side
    37,868x = 2,804,973,444
  5. Step 5: Solve for x
    x = 2,804,973,444/37,868
  6. Step 6: Final answer
    x = 74,072.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.