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Finding the Third Proportional to 20,845 and 42,461

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Solution

The third proportional to 20,845 and 42,461 is: 86,492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,845 : 42,461 = 42,461 : x
  2. Step 2: Convert to fraction form
    20,845/42,461 = 42,461/x
  3. Step 3: Cross multiply
    20,845x = 42,461 × 42,461
  4. Step 4: Simplify right side
    20,845x = 1,802,936,521
  5. Step 5: Solve for x
    x = 1,802,936,521/20,845
  6. Step 6: Final answer
    x = 86,492.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.