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Finding the Third Proportional to 14,609 and 16,094

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Solution

The third proportional to 14,609 and 16,094 is: 17,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609 : 16,094 = 16,094 : x
  2. Step 2: Convert to fraction form
    14,609/16,094 = 16,094/x
  3. Step 3: Cross multiply
    14,609x = 16,094 × 16,094
  4. Step 4: Simplify right side
    14,609x = 259,016,836
  5. Step 5: Solve for x
    x = 259,016,836/14,609
  6. Step 6: Final answer
    x = 17,729.95

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.