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Finding the Third Proportional to 15,824 and 33,392

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Solution

The third proportional to 15,824 and 33,392 is: 70,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824 : 33,392 = 33,392 : x
  2. Step 2: Convert to fraction form
    15,824/33,392 = 33,392/x
  3. Step 3: Cross multiply
    15,824x = 33,392 × 33,392
  4. Step 4: Simplify right side
    15,824x = 1,115,025,664
  5. Step 5: Solve for x
    x = 1,115,025,664/15,824
  6. Step 6: Final answer
    x = 70,464.21

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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.