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Finding the Third Proportional to 9,284 and 17,256

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Solution

The third proportional to 9,284 and 17,256 is: 32,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284 : 17,256 = 17,256 : x
  2. Step 2: Convert to fraction form
    9,284/17,256 = 17,256/x
  3. Step 3: Cross multiply
    9,284x = 17,256 × 17,256
  4. Step 4: Simplify right side
    9,284x = 297,769,536
  5. Step 5: Solve for x
    x = 297,769,536/9,284
  6. Step 6: Final answer
    x = 32,073.41

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.