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Finding the Third Proportional to 20,354 and 41,716

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Solution

The third proportional to 20,354 and 41,716 is: 85,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,354 : 41,716 = 41,716 : x
  2. Step 2: Convert to fraction form
    20,354/41,716 = 41,716/x
  3. Step 3: Cross multiply
    20,354x = 41,716 × 41,716
  4. Step 4: Simplify right side
    20,354x = 1,740,224,656
  5. Step 5: Solve for x
    x = 1,740,224,656/20,354
  6. Step 6: Final answer
    x = 85,497.92

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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.