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Finding the Third Proportional to 34,012 and 73,489

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Solution

The third proportional to 34,012 and 73,489 is: 158,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,012 : 73,489 = 73,489 : x
  2. Step 2: Convert to fraction form
    34,012/73,489 = 73,489/x
  3. Step 3: Cross multiply
    34,012x = 73,489 × 73,489
  4. Step 4: Simplify right side
    34,012x = 5,400,633,121
  5. Step 5: Solve for x
    x = 5,400,633,121/34,012
  6. Step 6: Final answer
    x = 158,786.11

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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.