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Finding the Third Proportional to 20,446.17 and 44,114.63

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Solution

The third proportional to 20,446.17 and 44,114.63 is: 95,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.17 : 44,114.63 = 44,114.63 : x
  2. Step 2: Convert to fraction form
    20,446.17/44,114.63 = 44,114.63/x
  3. Step 3: Cross multiply
    20,446.17x = 44,114.63 × 44,114.63
  4. Step 4: Simplify right side
    20,446.17x = 1,946,100,138.89
  5. Step 5: Solve for x
    x = 1,946,100,138.89/20,446.17
  6. Step 6: Final answer
    x = 95,181.64

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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.