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Finding the Third Proportional to 20,461 and 44,141

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Solution

The third proportional to 20,461 and 44,141 is: 95,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461 : 44,141 = 44,141 : x
  2. Step 2: Convert to fraction form
    20,461/44,141 = 44,141/x
  3. Step 3: Cross multiply
    20,461x = 44,141 × 44,141
  4. Step 4: Simplify right side
    20,461x = 1,948,427,881
  5. Step 5: Solve for x
    x = 1,948,427,881/20,461
  6. Step 6: Final answer
    x = 95,226.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.