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Finding the Third Proportional to 27,072 and 39,456

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Solution

The third proportional to 27,072 and 39,456 is: 57,505.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072 : 39,456 = 39,456 : x
  2. Step 2: Convert to fraction form
    27,072/39,456 = 39,456/x
  3. Step 3: Cross multiply
    27,072x = 39,456 × 39,456
  4. Step 4: Simplify right side
    27,072x = 1,556,775,936
  5. Step 5: Solve for x
    x = 1,556,775,936/27,072
  6. Step 6: Final answer
    x = 57,505.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.