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Finding the Third Proportional to 33,466.50 and 48,357

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Solution

The third proportional to 33,466.50 and 48,357 is: 69,872.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,466.50 : 48,357 = 48,357 : x
  2. Step 2: Convert to fraction form
    33,466.50/48,357 = 48,357/x
  3. Step 3: Cross multiply
    33,466.50x = 48,357 × 48,357
  4. Step 4: Simplify right side
    33,466.50x = 2,338,399,449
  5. Step 5: Solve for x
    x = 2,338,399,449/33,466.50
  6. Step 6: Final answer
    x = 69,872.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.