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Finding the Third Proportional to 17,914 and 38,473

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Solution

The third proportional to 17,914 and 38,473 is: 82,626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,914 : 38,473 = 38,473 : x
  2. Step 2: Convert to fraction form
    17,914/38,473 = 38,473/x
  3. Step 3: Cross multiply
    17,914x = 38,473 × 38,473
  4. Step 4: Simplify right side
    17,914x = 1,480,171,729
  5. Step 5: Solve for x
    x = 1,480,171,729/17,914
  6. Step 6: Final answer
    x = 82,626.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.