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Finding the Third Proportional to 20,124 and 44,856

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Solution

The third proportional to 20,124 and 44,856 is: 99,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124 : 44,856 = 44,856 : x
  2. Step 2: Convert to fraction form
    20,124/44,856 = 44,856/x
  3. Step 3: Cross multiply
    20,124x = 44,856 × 44,856
  4. Step 4: Simplify right side
    20,124x = 2,012,060,736
  5. Step 5: Solve for x
    x = 2,012,060,736/20,124
  6. Step 6: Final answer
    x = 99,983.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.