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Finding the Third Proportional to 27,648 and 58,272

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Solution

The third proportional to 27,648 and 58,272 is: 122,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648 : 58,272 = 58,272 : x
  2. Step 2: Convert to fraction form
    27,648/58,272 = 58,272/x
  3. Step 3: Cross multiply
    27,648x = 58,272 × 58,272
  4. Step 4: Simplify right side
    27,648x = 3,395,625,984
  5. Step 5: Solve for x
    x = 3,395,625,984/27,648
  6. Step 6: Final answer
    x = 122,816.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.