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Finding the Third Proportional to 15,326 and 32,198

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Solution

The third proportional to 15,326 and 32,198 is: 67,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,326 : 32,198 = 32,198 : x
  2. Step 2: Convert to fraction form
    15,326/32,198 = 32,198/x
  3. Step 3: Cross multiply
    15,326x = 32,198 × 32,198
  4. Step 4: Simplify right side
    15,326x = 1,036,711,204
  5. Step 5: Solve for x
    x = 1,036,711,204/15,326
  6. Step 6: Final answer
    x = 67,643.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.