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Finding the Third Proportional to 33,985 and 49,975

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Solution

The third proportional to 33,985 and 49,975 is: 73,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,985 : 49,975 = 49,975 : x
  2. Step 2: Convert to fraction form
    33,985/49,975 = 49,975/x
  3. Step 3: Cross multiply
    33,985x = 49,975 × 49,975
  4. Step 4: Simplify right side
    33,985x = 2,497,500,625
  5. Step 5: Solve for x
    x = 2,497,500,625/33,985
  6. Step 6: Final answer
    x = 73,488.32

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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.