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Finding the Third Proportional to 34,004 and 73,228

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Solution

The third proportional to 34,004 and 73,228 is: 157,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,004 : 73,228 = 73,228 : x
  2. Step 2: Convert to fraction form
    34,004/73,228 = 73,228/x
  3. Step 3: Cross multiply
    34,004x = 73,228 × 73,228
  4. Step 4: Simplify right side
    34,004x = 5,362,339,984
  5. Step 5: Solve for x
    x = 5,362,339,984/34,004
  6. Step 6: Final answer
    x = 157,697.33

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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.