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Finding the Third Proportional to 57,660 and 73,676

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Solution

The third proportional to 57,660 and 73,676 is: 94,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,660 : 73,676 = 73,676 : x
  2. Step 2: Convert to fraction form
    57,660/73,676 = 73,676/x
  3. Step 3: Cross multiply
    57,660x = 73,676 × 73,676
  4. Step 4: Simplify right side
    57,660x = 5,428,152,976
  5. Step 5: Solve for x
    x = 5,428,152,976/57,660
  6. Step 6: Final answer
    x = 94,140.70

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.