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Finding the Third Proportional to 16,722 and 36,570

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Solution

The third proportional to 16,722 and 36,570 is: 79,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,722 : 36,570 = 36,570 : x
  2. Step 2: Convert to fraction form
    16,722/36,570 = 36,570/x
  3. Step 3: Cross multiply
    16,722x = 36,570 × 36,570
  4. Step 4: Simplify right side
    16,722x = 1,337,364,900
  5. Step 5: Solve for x
    x = 1,337,364,900/16,722
  6. Step 6: Final answer
    x = 79,976.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.