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Finding the Third Proportional to 27,072 and 36,944

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Solution

The third proportional to 27,072 and 36,944 is: 50,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072 : 36,944 = 36,944 : x
  2. Step 2: Convert to fraction form
    27,072/36,944 = 36,944/x
  3. Step 3: Cross multiply
    27,072x = 36,944 × 36,944
  4. Step 4: Simplify right side
    27,072x = 1,364,859,136
  5. Step 5: Solve for x
    x = 1,364,859,136/27,072
  6. Step 6: Final answer
    x = 50,415.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.