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Finding the Third Proportional to 13,675 and 21,758

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Solution

The third proportional to 13,675 and 21,758 is: 34,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675 : 21,758 = 21,758 : x
  2. Step 2: Convert to fraction form
    13,675/21,758 = 21,758/x
  3. Step 3: Cross multiply
    13,675x = 21,758 × 21,758
  4. Step 4: Simplify right side
    13,675x = 473,410,564
  5. Step 5: Solve for x
    x = 473,410,564/13,675
  6. Step 6: Final answer
    x = 34,618.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.