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Finding the Third Proportional to 27,383 and 39,576

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Solution

The third proportional to 27,383 and 39,576 is: 57,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,383 : 39,576 = 39,576 : x
  2. Step 2: Convert to fraction form
    27,383/39,576 = 39,576/x
  3. Step 3: Cross multiply
    27,383x = 39,576 × 39,576
  4. Step 4: Simplify right side
    27,383x = 1,566,259,776
  5. Step 5: Solve for x
    x = 1,566,259,776/27,383
  6. Step 6: Final answer
    x = 57,198.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.