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Finding the Third Proportional to 33,999.75 and 49,962.38

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Solution

The third proportional to 33,999.75 and 49,962.38 is: 73,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,999.75 : 49,962.38 = 49,962.38 : x
  2. Step 2: Convert to fraction form
    33,999.75/49,962.38 = 49,962.38/x
  3. Step 3: Cross multiply
    33,999.75x = 49,962.38 × 49,962.38
  4. Step 4: Simplify right side
    33,999.75x = 2,496,238,915.64
  5. Step 5: Solve for x
    x = 2,496,238,915.64/33,999.75
  6. Step 6: Final answer
    x = 73,419.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.