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Finding the Third Proportional to 27,824 and 60,366

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Solution

The third proportional to 27,824 and 60,366 is: 130,968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824 : 60,366 = 60,366 : x
  2. Step 2: Convert to fraction form
    27,824/60,366 = 60,366/x
  3. Step 3: Cross multiply
    27,824x = 60,366 × 60,366
  4. Step 4: Simplify right side
    27,824x = 3,644,053,956
  5. Step 5: Solve for x
    x = 3,644,053,956/27,824
  6. Step 6: Final answer
    x = 130,968.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.