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Finding the Third Proportional to 33,938.25 and 73,101

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Solution

The third proportional to 33,938.25 and 73,101 is: 157,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,938.25 : 73,101 = 73,101 : x
  2. Step 2: Convert to fraction form
    33,938.25/73,101 = 73,101/x
  3. Step 3: Cross multiply
    33,938.25x = 73,101 × 73,101
  4. Step 4: Simplify right side
    33,938.25x = 5,343,756,201
  5. Step 5: Solve for x
    x = 5,343,756,201/33,938.25
  6. Step 6: Final answer
    x = 157,455.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.