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Finding the Third Proportional to 11,596 and 13,324

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Solution

The third proportional to 11,596 and 13,324 is: 15,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596 : 13,324 = 13,324 : x
  2. Step 2: Convert to fraction form
    11,596/13,324 = 13,324/x
  3. Step 3: Cross multiply
    11,596x = 13,324 × 13,324
  4. Step 4: Simplify right side
    11,596x = 177,528,976
  5. Step 5: Solve for x
    x = 177,528,976/11,596
  6. Step 6: Final answer
    x = 15,309.50

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.