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Finding the Third Proportional to 27,265 and 39,997

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Solution

The third proportional to 27,265 and 39,997 is: 58,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,265 : 39,997 = 39,997 : x
  2. Step 2: Convert to fraction form
    27,265/39,997 = 39,997/x
  3. Step 3: Cross multiply
    27,265x = 39,997 × 39,997
  4. Step 4: Simplify right side
    27,265x = 1,599,760,009
  5. Step 5: Solve for x
    x = 1,599,760,009/27,265
  6. Step 6: Final answer
    x = 58,674.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.