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Finding the Third Proportional to 11,584 and 15,296

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Solution

The third proportional to 11,584 and 15,296 is: 20,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584 : 15,296 = 15,296 : x
  2. Step 2: Convert to fraction form
    11,584/15,296 = 15,296/x
  3. Step 3: Cross multiply
    11,584x = 15,296 × 15,296
  4. Step 4: Simplify right side
    11,584x = 233,967,616
  5. Step 5: Solve for x
    x = 233,967,616/11,584
  6. Step 6: Final answer
    x = 20,197.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.