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Finding the Third Proportional to 27,249 and 36,546

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Solution

The third proportional to 27,249 and 36,546 is: 49,015.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,249 : 36,546 = 36,546 : x
  2. Step 2: Convert to fraction form
    27,249/36,546 = 36,546/x
  3. Step 3: Cross multiply
    27,249x = 36,546 × 36,546
  4. Step 4: Simplify right side
    27,249x = 1,335,610,116
  5. Step 5: Solve for x
    x = 1,335,610,116/27,249
  6. Step 6: Final answer
    x = 49,015.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.