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Finding the Third Proportional to 20,830 and 45,836

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Solution

The third proportional to 20,830 and 45,836 is: 100,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830 : 45,836 = 45,836 : x
  2. Step 2: Convert to fraction form
    20,830/45,836 = 45,836/x
  3. Step 3: Cross multiply
    20,830x = 45,836 × 45,836
  4. Step 4: Simplify right side
    20,830x = 2,100,938,896
  5. Step 5: Solve for x
    x = 2,100,938,896/20,830
  6. Step 6: Final answer
    x = 100,861.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.