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Finding the Third Proportional to 7,384 and 13,256

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Solution

The third proportional to 7,384 and 13,256 is: 23,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384 : 13,256 = 13,256 : x
  2. Step 2: Convert to fraction form
    7,384/13,256 = 13,256/x
  3. Step 3: Cross multiply
    7,384x = 13,256 × 13,256
  4. Step 4: Simplify right side
    7,384x = 175,721,536
  5. Step 5: Solve for x
    x = 175,721,536/7,384
  6. Step 6: Final answer
    x = 23,797.61

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.