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Finding the Third Proportional to 11,932 and 13,156

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Solution

The third proportional to 11,932 and 13,156 is: 14,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932 : 13,156 = 13,156 : x
  2. Step 2: Convert to fraction form
    11,932/13,156 = 13,156/x
  3. Step 3: Cross multiply
    11,932x = 13,156 × 13,156
  4. Step 4: Simplify right side
    11,932x = 173,080,336
  5. Step 5: Solve for x
    x = 173,080,336/11,932
  6. Step 6: Final answer
    x = 14,505.56

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.