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Finding the Third Proportional to 34,187.25 and 73,842

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Solution

The third proportional to 34,187.25 and 73,842 is: 159,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,187.25 : 73,842 = 73,842 : x
  2. Step 2: Convert to fraction form
    34,187.25/73,842 = 73,842/x
  3. Step 3: Cross multiply
    34,187.25x = 73,842 × 73,842
  4. Step 4: Simplify right side
    34,187.25x = 5,452,640,964
  5. Step 5: Solve for x
    x = 5,452,640,964/34,187.25
  6. Step 6: Final answer
    x = 159,493.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.