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Finding the Third Proportional to 17,806 and 38,200

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Solution

The third proportional to 17,806 and 38,200 is: 81,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806 : 38,200 = 38,200 : x
  2. Step 2: Convert to fraction form
    17,806/38,200 = 38,200/x
  3. Step 3: Cross multiply
    17,806x = 38,200 × 38,200
  4. Step 4: Simplify right side
    17,806x = 1,459,240,000
  5. Step 5: Solve for x
    x = 1,459,240,000/17,806
  6. Step 6: Final answer
    x = 81,952.15

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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.