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Finding the Third Proportional to 20,007 and 43,434

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Solution

The third proportional to 20,007 and 43,434 is: 94,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007 : 43,434 = 43,434 : x
  2. Step 2: Convert to fraction form
    20,007/43,434 = 43,434/x
  3. Step 3: Cross multiply
    20,007x = 43,434 × 43,434
  4. Step 4: Simplify right side
    20,007x = 1,886,512,356
  5. Step 5: Solve for x
    x = 1,886,512,356/20,007
  6. Step 6: Final answer
    x = 94,292.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.