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Finding the Third Proportional to 8,134 and 11,423

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Solution

The third proportional to 8,134 and 11,423 is: 16,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134 : 11,423 = 11,423 : x
  2. Step 2: Convert to fraction form
    8,134/11,423 = 11,423/x
  3. Step 3: Cross multiply
    8,134x = 11,423 × 11,423
  4. Step 4: Simplify right side
    8,134x = 130,484,929
  5. Step 5: Solve for x
    x = 130,484,929/8,134
  6. Step 6: Final answer
    x = 16,041.91

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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.