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Finding the Third Proportional to 27,072 and 37,242

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Solution

The third proportional to 27,072 and 37,242 is: 51,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072 : 37,242 = 37,242 : x
  2. Step 2: Convert to fraction form
    27,072/37,242 = 37,242/x
  3. Step 3: Cross multiply
    27,072x = 37,242 × 37,242
  4. Step 4: Simplify right side
    27,072x = 1,386,966,564
  5. Step 5: Solve for x
    x = 1,386,966,564/27,072
  6. Step 6: Final answer
    x = 51,232.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.