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Finding the Third Proportional to 30,920 and 67,620

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Solution

The third proportional to 30,920 and 67,620 is: 147,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920 : 67,620 = 67,620 : x
  2. Step 2: Convert to fraction form
    30,920/67,620 = 67,620/x
  3. Step 3: Cross multiply
    30,920x = 67,620 × 67,620
  4. Step 4: Simplify right side
    30,920x = 4,572,464,400
  5. Step 5: Solve for x
    x = 4,572,464,400/30,920
  6. Step 6: Final answer
    x = 147,880.48

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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.