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Finding the Third Proportional to 20,348 and 41,785

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Solution

The third proportional to 20,348 and 41,785 is: 85,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,348 : 41,785 = 41,785 : x
  2. Step 2: Convert to fraction form
    20,348/41,785 = 41,785/x
  3. Step 3: Cross multiply
    20,348x = 41,785 × 41,785
  4. Step 4: Simplify right side
    20,348x = 1,745,986,225
  5. Step 5: Solve for x
    x = 1,745,986,225/20,348
  6. Step 6: Final answer
    x = 85,806.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.