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Finding the Third Proportional to 8,340 and 11,729

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Solution

The third proportional to 8,340 and 11,729 is: 16,495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340 : 11,729 = 11,729 : x
  2. Step 2: Convert to fraction form
    8,340/11,729 = 11,729/x
  3. Step 3: Cross multiply
    8,340x = 11,729 × 11,729
  4. Step 4: Simplify right side
    8,340x = 137,569,441
  5. Step 5: Solve for x
    x = 137,569,441/8,340
  6. Step 6: Final answer
    x = 16,495.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.