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Finding the Third Proportional to 9,736 and 15,256

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Solution

The third proportional to 9,736 and 15,256 is: 23,905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736 : 15,256 = 15,256 : x
  2. Step 2: Convert to fraction form
    9,736/15,256 = 15,256/x
  3. Step 3: Cross multiply
    9,736x = 15,256 × 15,256
  4. Step 4: Simplify right side
    9,736x = 232,745,536
  5. Step 5: Solve for x
    x = 232,745,536/9,736
  6. Step 6: Final answer
    x = 23,905.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.