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Finding the Third Proportional to 30,884 and 62,858

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Solution

The third proportional to 30,884 and 62,858 is: 127,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884 : 62,858 = 62,858 : x
  2. Step 2: Convert to fraction form
    30,884/62,858 = 62,858/x
  3. Step 3: Cross multiply
    30,884x = 62,858 × 62,858
  4. Step 4: Simplify right side
    30,884x = 3,951,128,164
  5. Step 5: Solve for x
    x = 3,951,128,164/30,884
  6. Step 6: Final answer
    x = 127,934.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.