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Finding the Third Proportional to 33,634 and 73,100

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Solution

The third proportional to 33,634 and 73,100 is: 158,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634 : 73,100 = 73,100 : x
  2. Step 2: Convert to fraction form
    33,634/73,100 = 73,100/x
  3. Step 3: Cross multiply
    33,634x = 73,100 × 73,100
  4. Step 4: Simplify right side
    33,634x = 5,343,610,000
  5. Step 5: Solve for x
    x = 5,343,610,000/33,634
  6. Step 6: Final answer
    x = 158,875.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.