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Finding the Third Proportional to 20,284 and 43,434

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Solution

The third proportional to 20,284 and 43,434 is: 93,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284 : 43,434 = 43,434 : x
  2. Step 2: Convert to fraction form
    20,284/43,434 = 43,434/x
  3. Step 3: Cross multiply
    20,284x = 43,434 × 43,434
  4. Step 4: Simplify right side
    20,284x = 1,886,512,356
  5. Step 5: Solve for x
    x = 1,886,512,356/20,284
  6. Step 6: Final answer
    x = 93,004.95

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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.