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Finding the Third Proportional to 20,200 and 43,208

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Solution

The third proportional to 20,200 and 43,208 is: 92,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200 : 43,208 = 43,208 : x
  2. Step 2: Convert to fraction form
    20,200/43,208 = 43,208/x
  3. Step 3: Cross multiply
    20,200x = 43,208 × 43,208
  4. Step 4: Simplify right side
    20,200x = 1,866,931,264
  5. Step 5: Solve for x
    x = 1,866,931,264/20,200
  6. Step 6: Final answer
    x = 92,422.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.