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Finding the Third Proportional to 8,324 and 11,468

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Solution

The third proportional to 8,324 and 11,468 is: 15,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324 : 11,468 = 11,468 : x
  2. Step 2: Convert to fraction form
    8,324/11,468 = 11,468/x
  3. Step 3: Cross multiply
    8,324x = 11,468 × 11,468
  4. Step 4: Simplify right side
    8,324x = 131,515,024
  5. Step 5: Solve for x
    x = 131,515,024/8,324
  6. Step 6: Final answer
    x = 15,799.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.