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Finding the Third Proportional to 30,669 and 62,466

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Solution

The third proportional to 30,669 and 62,466 is: 127,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,669 : 62,466 = 62,466 : x
  2. Step 2: Convert to fraction form
    30,669/62,466 = 62,466/x
  3. Step 3: Cross multiply
    30,669x = 62,466 × 62,466
  4. Step 4: Simplify right side
    30,669x = 3,902,001,156
  5. Step 5: Solve for x
    x = 3,902,001,156/30,669
  6. Step 6: Final answer
    x = 127,229.49

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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.