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Finding the Third Proportional to 13,574 and 21,675

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Solution

The third proportional to 13,574 and 21,675 is: 34,610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574 : 21,675 = 21,675 : x
  2. Step 2: Convert to fraction form
    13,574/21,675 = 21,675/x
  3. Step 3: Cross multiply
    13,574x = 21,675 × 21,675
  4. Step 4: Simplify right side
    13,574x = 469,805,625
  5. Step 5: Solve for x
    x = 469,805,625/13,574
  6. Step 6: Final answer
    x = 34,610.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.