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Finding the Third Proportional to 30,883 and 60,230

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Solution

The third proportional to 30,883 and 60,230 is: 117,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883 : 60,230 = 60,230 : x
  2. Step 2: Convert to fraction form
    30,883/60,230 = 60,230/x
  3. Step 3: Cross multiply
    30,883x = 60,230 × 60,230
  4. Step 4: Simplify right side
    30,883x = 3,627,652,900
  5. Step 5: Solve for x
    x = 3,627,652,900/30,883
  6. Step 6: Final answer
    x = 117,464.39

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.