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Finding the Third Proportional to 20,338.50 and 37,302

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Solution

The third proportional to 20,338.50 and 37,302 is: 68,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338.50 : 37,302 = 37,302 : x
  2. Step 2: Convert to fraction form
    20,338.50/37,302 = 37,302/x
  3. Step 3: Cross multiply
    20,338.50x = 37,302 × 37,302
  4. Step 4: Simplify right side
    20,338.50x = 1,391,439,204
  5. Step 5: Solve for x
    x = 1,391,439,204/20,338.50
  6. Step 6: Final answer
    x = 68,414.05

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.