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Finding the Third Proportional to 20,800 and 45,434

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Solution

The third proportional to 20,800 and 45,434 is: 99,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800 : 45,434 = 45,434 : x
  2. Step 2: Convert to fraction form
    20,800/45,434 = 45,434/x
  3. Step 3: Cross multiply
    20,800x = 45,434 × 45,434
  4. Step 4: Simplify right side
    20,800x = 2,064,248,356
  5. Step 5: Solve for x
    x = 2,064,248,356/20,800
  6. Step 6: Final answer
    x = 99,242.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.