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Finding the Third Proportional to 33,525 and 69,805.50

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Solution

The third proportional to 33,525 and 69,805.50 is: 145,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,525 : 69,805.50 = 69,805.50 : x
  2. Step 2: Convert to fraction form
    33,525/69,805.50 = 69,805.50/x
  3. Step 3: Cross multiply
    33,525x = 69,805.50 × 69,805.50
  4. Step 4: Simplify right side
    33,525x = 4,872,807,830.25
  5. Step 5: Solve for x
    x = 4,872,807,830.25/33,525
  6. Step 6: Final answer
    x = 145,348.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.