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Finding the Third Proportional to 30,636 and 62,566

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Solution

The third proportional to 30,636 and 62,566 is: 127,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,636 : 62,566 = 62,566 : x
  2. Step 2: Convert to fraction form
    30,636/62,566 = 62,566/x
  3. Step 3: Cross multiply
    30,636x = 62,566 × 62,566
  4. Step 4: Simplify right side
    30,636x = 3,914,504,356
  5. Step 5: Solve for x
    x = 3,914,504,356/30,636
  6. Step 6: Final answer
    x = 127,774.66

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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.