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Finding the Third Proportional to 14,096 and 19,726

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Solution

The third proportional to 14,096 and 19,726 is: 27,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096 : 19,726 = 19,726 : x
  2. Step 2: Convert to fraction form
    14,096/19,726 = 19,726/x
  3. Step 3: Cross multiply
    14,096x = 19,726 × 19,726
  4. Step 4: Simplify right side
    14,096x = 389,115,076
  5. Step 5: Solve for x
    x = 389,115,076/14,096
  6. Step 6: Final answer
    x = 27,604.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.