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Finding the Third Proportional to 10,367 and 14,133

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Solution

The third proportional to 10,367 and 14,133 is: 19,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367 : 14,133 = 14,133 : x
  2. Step 2: Convert to fraction form
    10,367/14,133 = 14,133/x
  3. Step 3: Cross multiply
    10,367x = 14,133 × 14,133
  4. Step 4: Simplify right side
    10,367x = 199,741,689
  5. Step 5: Solve for x
    x = 199,741,689/10,367
  6. Step 6: Final answer
    x = 19,267.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.