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Finding the Third Proportional to 30,414 and 62,286

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Solution

The third proportional to 30,414 and 62,286 is: 127,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414 : 62,286 = 62,286 : x
  2. Step 2: Convert to fraction form
    30,414/62,286 = 62,286/x
  3. Step 3: Cross multiply
    30,414x = 62,286 × 62,286
  4. Step 4: Simplify right side
    30,414x = 3,879,545,796
  5. Step 5: Solve for x
    x = 3,879,545,796/30,414
  6. Step 6: Final answer
    x = 127,557.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.