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Finding the Third Proportional to 17,722 and 23,630

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Solution

The third proportional to 17,722 and 23,630 is: 31,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722 : 23,630 = 23,630 : x
  2. Step 2: Convert to fraction form
    17,722/23,630 = 23,630/x
  3. Step 3: Cross multiply
    17,722x = 23,630 × 23,630
  4. Step 4: Simplify right side
    17,722x = 558,376,900
  5. Step 5: Solve for x
    x = 558,376,900/17,722
  6. Step 6: Final answer
    x = 31,507.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.