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Finding the Third Proportional to 34,780 and 73,880

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Solution

The third proportional to 34,780 and 73,880 is: 156,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,780 : 73,880 = 73,880 : x
  2. Step 2: Convert to fraction form
    34,780/73,880 = 73,880/x
  3. Step 3: Cross multiply
    34,780x = 73,880 × 73,880
  4. Step 4: Simplify right side
    34,780x = 5,458,254,400
  5. Step 5: Solve for x
    x = 5,458,254,400/34,780
  6. Step 6: Final answer
    x = 156,936.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.