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Finding the Third Proportional to 37,190 and 52,137

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Solution

The third proportional to 37,190 and 52,137 is: 73,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,190 : 52,137 = 52,137 : x
  2. Step 2: Convert to fraction form
    37,190/52,137 = 52,137/x
  3. Step 3: Cross multiply
    37,190x = 52,137 × 52,137
  4. Step 4: Simplify right side
    37,190x = 2,718,266,769
  5. Step 5: Solve for x
    x = 2,718,266,769/37,190
  6. Step 6: Final answer
    x = 73,091.34

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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.