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Finding the Third Proportional to 8,138 and 11,429

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Solution

The third proportional to 8,138 and 11,429 is: 16,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138 : 11,429 = 11,429 : x
  2. Step 2: Convert to fraction form
    8,138/11,429 = 11,429/x
  3. Step 3: Cross multiply
    8,138x = 11,429 × 11,429
  4. Step 4: Simplify right side
    8,138x = 130,622,041
  5. Step 5: Solve for x
    x = 130,622,041/8,138
  6. Step 6: Final answer
    x = 16,050.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.