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Finding the Third Proportional to 51,660 and 72,744

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Solution

The third proportional to 51,660 and 72,744 is: 102,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,660 : 72,744 = 72,744 : x
  2. Step 2: Convert to fraction form
    51,660/72,744 = 72,744/x
  3. Step 3: Cross multiply
    51,660x = 72,744 × 72,744
  4. Step 4: Simplify right side
    51,660x = 5,291,689,536
  5. Step 5: Solve for x
    x = 5,291,689,536/51,660
  6. Step 6: Final answer
    x = 102,433.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.