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Finding the Third Proportional to 30,879 and 63,214

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Solution

The third proportional to 30,879 and 63,214 is: 129,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,879 : 63,214 = 63,214 : x
  2. Step 2: Convert to fraction form
    30,879/63,214 = 63,214/x
  3. Step 3: Cross multiply
    30,879x = 63,214 × 63,214
  4. Step 4: Simplify right side
    30,879x = 3,996,009,796
  5. Step 5: Solve for x
    x = 3,996,009,796/30,879
  6. Step 6: Final answer
    x = 129,408.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.