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Finding the Third Proportional to 37,604 and 52,622

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Solution

The third proportional to 37,604 and 52,622 is: 73,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,604 : 52,622 = 52,622 : x
  2. Step 2: Convert to fraction form
    37,604/52,622 = 52,622/x
  3. Step 3: Cross multiply
    37,604x = 52,622 × 52,622
  4. Step 4: Simplify right side
    37,604x = 2,769,074,884
  5. Step 5: Solve for x
    x = 2,769,074,884/37,604
  6. Step 6: Final answer
    x = 73,637.77

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