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Finding the Third Proportional to 37,189 and 52,017

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Solution

The third proportional to 37,189 and 52,017 is: 72,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,189 : 52,017 = 52,017 : x
  2. Step 2: Convert to fraction form
    37,189/52,017 = 52,017/x
  3. Step 3: Cross multiply
    37,189x = 52,017 × 52,017
  4. Step 4: Simplify right side
    37,189x = 2,705,768,289
  5. Step 5: Solve for x
    x = 2,705,768,289/37,189
  6. Step 6: Final answer
    x = 72,757.22

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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.