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Finding the Third Proportional to 17,024 and 36,640

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Solution

The third proportional to 17,024 and 36,640 is: 78,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024 : 36,640 = 36,640 : x
  2. Step 2: Convert to fraction form
    17,024/36,640 = 36,640/x
  3. Step 3: Cross multiply
    17,024x = 36,640 × 36,640
  4. Step 4: Simplify right side
    17,024x = 1,342,489,600
  5. Step 5: Solve for x
    x = 1,342,489,600/17,024
  6. Step 6: Final answer
    x = 78,858.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.