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Finding the Third Proportional to 34,006 and 73,661

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Solution

The third proportional to 34,006 and 73,661 is: 159,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,006 : 73,661 = 73,661 : x
  2. Step 2: Convert to fraction form
    34,006/73,661 = 73,661/x
  3. Step 3: Cross multiply
    34,006x = 73,661 × 73,661
  4. Step 4: Simplify right side
    34,006x = 5,425,942,921
  5. Step 5: Solve for x
    x = 5,425,942,921/34,006
  6. Step 6: Final answer
    x = 159,558.40

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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.