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Finding the Third Proportional to 13,734 and 21,574

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Solution

The third proportional to 13,734 and 21,574 is: 33,889.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 21,574 = 21,574 : x
  2. Step 2: Convert to fraction form
    13,734/21,574 = 21,574/x
  3. Step 3: Cross multiply
    13,734x = 21,574 × 21,574
  4. Step 4: Simplify right side
    13,734x = 465,437,476
  5. Step 5: Solve for x
    x = 465,437,476/13,734
  6. Step 6: Final answer
    x = 33,889.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.