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Finding the Third Proportional to 37,623 and 49,944

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Solution

The third proportional to 37,623 and 49,944 is: 66,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,623 : 49,944 = 49,944 : x
  2. Step 2: Convert to fraction form
    37,623/49,944 = 49,944/x
  3. Step 3: Cross multiply
    37,623x = 49,944 × 49,944
  4. Step 4: Simplify right side
    37,623x = 2,494,403,136
  5. Step 5: Solve for x
    x = 2,494,403,136/37,623
  6. Step 6: Final answer
    x = 66,299.95

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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.