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Finding the Third Proportional to 13,643 and 20,734

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Solution

The third proportional to 13,643 and 20,734 is: 31,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643 : 20,734 = 20,734 : x
  2. Step 2: Convert to fraction form
    13,643/20,734 = 20,734/x
  3. Step 3: Cross multiply
    13,643x = 20,734 × 20,734
  4. Step 4: Simplify right side
    13,643x = 429,898,756
  5. Step 5: Solve for x
    x = 429,898,756/13,643
  6. Step 6: Final answer
    x = 31,510.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.