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Finding the Third Proportional to 18,662 and 40,336

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Solution

The third proportional to 18,662 and 40,336 is: 87,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,662 : 40,336 = 40,336 : x
  2. Step 2: Convert to fraction form
    18,662/40,336 = 40,336/x
  3. Step 3: Cross multiply
    18,662x = 40,336 × 40,336
  4. Step 4: Simplify right side
    18,662x = 1,626,992,896
  5. Step 5: Solve for x
    x = 1,626,992,896/18,662
  6. Step 6: Final answer
    x = 87,182.13

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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.