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Finding the Third Proportional to 10,082 and 13,179

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Solution

The third proportional to 10,082 and 13,179 is: 17,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082 : 13,179 = 13,179 : x
  2. Step 2: Convert to fraction form
    10,082/13,179 = 13,179/x
  3. Step 3: Cross multiply
    10,082x = 13,179 × 13,179
  4. Step 4: Simplify right side
    10,082x = 173,686,041
  5. Step 5: Solve for x
    x = 173,686,041/10,082
  6. Step 6: Final answer
    x = 17,227.34

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.