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Finding the Third Proportional to 27,036 and 37,944

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Solution

The third proportional to 27,036 and 37,944 is: 53,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,036 : 37,944 = 37,944 : x
  2. Step 2: Convert to fraction form
    27,036/37,944 = 37,944/x
  3. Step 3: Cross multiply
    27,036x = 37,944 × 37,944
  4. Step 4: Simplify right side
    27,036x = 1,439,747,136
  5. Step 5: Solve for x
    x = 1,439,747,136/27,036
  6. Step 6: Final answer
    x = 53,252.96

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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.