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Finding the Third Proportional to 37,604 and 50,182

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Solution

The third proportional to 37,604 and 50,182 is: 66,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,604 : 50,182 = 50,182 : x
  2. Step 2: Convert to fraction form
    37,604/50,182 = 50,182/x
  3. Step 3: Cross multiply
    37,604x = 50,182 × 50,182
  4. Step 4: Simplify right side
    37,604x = 2,518,233,124
  5. Step 5: Solve for x
    x = 2,518,233,124/37,604
  6. Step 6: Final answer
    x = 66,967.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.