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Finding the Third Proportional to 11,812 and 13,156

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Solution

The third proportional to 11,812 and 13,156 is: 14,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812 : 13,156 = 13,156 : x
  2. Step 2: Convert to fraction form
    11,812/13,156 = 13,156/x
  3. Step 3: Cross multiply
    11,812x = 13,156 × 13,156
  4. Step 4: Simplify right side
    11,812x = 173,080,336
  5. Step 5: Solve for x
    x = 173,080,336/11,812
  6. Step 6: Final answer
    x = 14,652.92

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.