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Finding the Third Proportional to 34,676 and 73,960

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Solution

The third proportional to 34,676 and 73,960 is: 157,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,676 : 73,960 = 73,960 : x
  2. Step 2: Convert to fraction form
    34,676/73,960 = 73,960/x
  3. Step 3: Cross multiply
    34,676x = 73,960 × 73,960
  4. Step 4: Simplify right side
    34,676x = 5,470,081,600
  5. Step 5: Solve for x
    x = 5,470,081,600/34,676
  6. Step 6: Final answer
    x = 157,748.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.