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Finding the Third Proportional to 25,221 and 33,679

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Solution

The third proportional to 25,221 and 33,679 is: 44,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,221 : 33,679 = 33,679 : x
  2. Step 2: Convert to fraction form
    25,221/33,679 = 33,679/x
  3. Step 3: Cross multiply
    25,221x = 33,679 × 33,679
  4. Step 4: Simplify right side
    25,221x = 1,134,275,041
  5. Step 5: Solve for x
    x = 1,134,275,041/25,221
  6. Step 6: Final answer
    x = 44,973.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.