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Finding the Third Proportional to 34,660 and 73,640

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Solution

The third proportional to 34,660 and 73,640 is: 156,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,660 : 73,640 = 73,640 : x
  2. Step 2: Convert to fraction form
    34,660/73,640 = 73,640/x
  3. Step 3: Cross multiply
    34,660x = 73,640 × 73,640
  4. Step 4: Simplify right side
    34,660x = 5,422,849,600
  5. Step 5: Solve for x
    x = 5,422,849,600/34,660
  6. Step 6: Final answer
    x = 156,458.44

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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.