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Finding the Third Proportional to 27,485 and 38,827

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Solution

The third proportional to 27,485 and 38,827 is: 54,849.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,485 : 38,827 = 38,827 : x
  2. Step 2: Convert to fraction form
    27,485/38,827 = 38,827/x
  3. Step 3: Cross multiply
    27,485x = 38,827 × 38,827
  4. Step 4: Simplify right side
    27,485x = 1,507,535,929
  5. Step 5: Solve for x
    x = 1,507,535,929/27,485
  6. Step 6: Final answer
    x = 54,849.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.