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Finding the Third Proportional to 22,682 and 32,722

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Solution

The third proportional to 22,682 and 32,722 is: 47,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682 : 32,722 = 32,722 : x
  2. Step 2: Convert to fraction form
    22,682/32,722 = 32,722/x
  3. Step 3: Cross multiply
    22,682x = 32,722 × 32,722
  4. Step 4: Simplify right side
    22,682x = 1,070,729,284
  5. Step 5: Solve for x
    x = 1,070,729,284/22,682
  6. Step 6: Final answer
    x = 47,206.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.