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Finding the Third Proportional to 30,918 and 67,616

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Solution

The third proportional to 30,918 and 67,616 is: 147,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,918 : 67,616 = 67,616 : x
  2. Step 2: Convert to fraction form
    30,918/67,616 = 67,616/x
  3. Step 3: Cross multiply
    30,918x = 67,616 × 67,616
  4. Step 4: Simplify right side
    30,918x = 4,571,923,456
  5. Step 5: Solve for x
    x = 4,571,923,456/30,918
  6. Step 6: Final answer
    x = 147,872.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.