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Finding the Third Proportional to 14,022 and 16,582

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Solution

The third proportional to 14,022 and 16,582 is: 19,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022 : 16,582 = 16,582 : x
  2. Step 2: Convert to fraction form
    14,022/16,582 = 16,582/x
  3. Step 3: Cross multiply
    14,022x = 16,582 × 16,582
  4. Step 4: Simplify right side
    14,022x = 274,962,724
  5. Step 5: Solve for x
    x = 274,962,724/14,022
  6. Step 6: Final answer
    x = 19,609.38

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.