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Finding the Third Proportional to 33,456 and 48,927.75

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Solution

The third proportional to 33,456 and 48,927.75 is: 71,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,456 : 48,927.75 = 48,927.75 : x
  2. Step 2: Convert to fraction form
    33,456/48,927.75 = 48,927.75/x
  3. Step 3: Cross multiply
    33,456x = 48,927.75 × 48,927.75
  4. Step 4: Simplify right side
    33,456x = 2,393,924,720.06
  5. Step 5: Solve for x
    x = 2,393,924,720.06/33,456
  6. Step 6: Final answer
    x = 71,554.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.