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Finding the Third Proportional to 20,210 and 44,179

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Solution

The third proportional to 20,210 and 44,179 is: 96,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,210 : 44,179 = 44,179 : x
  2. Step 2: Convert to fraction form
    20,210/44,179 = 44,179/x
  3. Step 3: Cross multiply
    20,210x = 44,179 × 44,179
  4. Step 4: Simplify right side
    20,210x = 1,951,784,041
  5. Step 5: Solve for x
    x = 1,951,784,041/20,210
  6. Step 6: Final answer
    x = 96,575.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.