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Finding the Third Proportional to 18,373 and 39,662

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Solution

The third proportional to 18,373 and 39,662 is: 85,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,373 : 39,662 = 39,662 : x
  2. Step 2: Convert to fraction form
    18,373/39,662 = 39,662/x
  3. Step 3: Cross multiply
    18,373x = 39,662 × 39,662
  4. Step 4: Simplify right side
    18,373x = 1,573,074,244
  5. Step 5: Solve for x
    x = 1,573,074,244/18,373
  6. Step 6: Final answer
    x = 85,618.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.