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Finding the Third Proportional to 30,578 and 62,452

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Solution

The third proportional to 30,578 and 62,452 is: 127,550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578 : 62,452 = 62,452 : x
  2. Step 2: Convert to fraction form
    30,578/62,452 = 62,452/x
  3. Step 3: Cross multiply
    30,578x = 62,452 × 62,452
  4. Step 4: Simplify right side
    30,578x = 3,900,252,304
  5. Step 5: Solve for x
    x = 3,900,252,304/30,578
  6. Step 6: Final answer
    x = 127,550.93

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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.