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Finding the Third Proportional to 20,417 and 44,074

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Solution

The third proportional to 20,417 and 44,074 is: 95,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,417 : 44,074 = 44,074 : x
  2. Step 2: Convert to fraction form
    20,417/44,074 = 44,074/x
  3. Step 3: Cross multiply
    20,417x = 44,074 × 44,074
  4. Step 4: Simplify right side
    20,417x = 1,942,517,476
  5. Step 5: Solve for x
    x = 1,942,517,476/20,417
  6. Step 6: Final answer
    x = 95,142.16

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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.