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Finding the Third Proportional to 14,101 and 19,734

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Solution

The third proportional to 14,101 and 19,734 is: 27,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101 : 19,734 = 19,734 : x
  2. Step 2: Convert to fraction form
    14,101/19,734 = 19,734/x
  3. Step 3: Cross multiply
    14,101x = 19,734 × 19,734
  4. Step 4: Simplify right side
    14,101x = 389,430,756
  5. Step 5: Solve for x
    x = 389,430,756/14,101
  6. Step 6: Final answer
    x = 27,617.24

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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.