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Finding the Third Proportional to 14,074 and 16,450

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Solution

The third proportional to 14,074 and 16,450 is: 19,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074 : 16,450 = 16,450 : x
  2. Step 2: Convert to fraction form
    14,074/16,450 = 16,450/x
  3. Step 3: Cross multiply
    14,074x = 16,450 × 16,450
  4. Step 4: Simplify right side
    14,074x = 270,602,500
  5. Step 5: Solve for x
    x = 270,602,500/14,074
  6. Step 6: Final answer
    x = 19,227.12

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.