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Finding the Third Proportional to 30,652 and 65,677

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Solution

The third proportional to 30,652 and 65,677 is: 140,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652 : 65,677 = 65,677 : x
  2. Step 2: Convert to fraction form
    30,652/65,677 = 65,677/x
  3. Step 3: Cross multiply
    30,652x = 65,677 × 65,677
  4. Step 4: Simplify right side
    30,652x = 4,313,468,329
  5. Step 5: Solve for x
    x = 4,313,468,329/30,652
  6. Step 6: Final answer
    x = 140,723.88

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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.