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Finding the Third Proportional to 17,722 and 24,079

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Solution

The third proportional to 17,722 and 24,079 is: 32,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722 : 24,079 = 24,079 : x
  2. Step 2: Convert to fraction form
    17,722/24,079 = 24,079/x
  3. Step 3: Cross multiply
    17,722x = 24,079 × 24,079
  4. Step 4: Simplify right side
    17,722x = 579,798,241
  5. Step 5: Solve for x
    x = 579,798,241/17,722
  6. Step 6: Final answer
    x = 32,716.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.