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Finding the Third Proportional to 30,634 and 62,563

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Solution

The third proportional to 30,634 and 62,563 is: 127,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,634 : 62,563 = 62,563 : x
  2. Step 2: Convert to fraction form
    30,634/62,563 = 62,563/x
  3. Step 3: Cross multiply
    30,634x = 62,563 × 62,563
  4. Step 4: Simplify right side
    30,634x = 3,914,128,969
  5. Step 5: Solve for x
    x = 3,914,128,969/30,634
  6. Step 6: Final answer
    x = 127,770.74

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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.