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Finding the Third Proportional to 14,026 and 19,634

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Solution

The third proportional to 14,026 and 19,634 is: 27,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,026 : 19,634 = 19,634 : x
  2. Step 2: Convert to fraction form
    14,026/19,634 = 19,634/x
  3. Step 3: Cross multiply
    14,026x = 19,634 × 19,634
  4. Step 4: Simplify right side
    14,026x = 385,493,956
  5. Step 5: Solve for x
    x = 385,493,956/14,026
  6. Step 6: Final answer
    x = 27,484.24

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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.