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Finding the Third Proportional to 20,549 and 30,918

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Solution

The third proportional to 20,549 and 30,918 is: 46,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549 : 30,918 = 30,918 : x
  2. Step 2: Convert to fraction form
    20,549/30,918 = 30,918/x
  3. Step 3: Cross multiply
    20,549x = 30,918 × 30,918
  4. Step 4: Simplify right side
    20,549x = 955,922,724
  5. Step 5: Solve for x
    x = 955,922,724/20,549
  6. Step 6: Final answer
    x = 46,519.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.