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Finding the Third Proportional to 13,034 and 18,571

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Solution

The third proportional to 13,034 and 18,571 is: 26,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034 : 18,571 = 18,571 : x
  2. Step 2: Convert to fraction form
    13,034/18,571 = 18,571/x
  3. Step 3: Cross multiply
    13,034x = 18,571 × 18,571
  4. Step 4: Simplify right side
    13,034x = 344,882,041
  5. Step 5: Solve for x
    x = 344,882,041/13,034
  6. Step 6: Final answer
    x = 26,460.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.