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Finding the Third Proportional to 27,920 and 41,400

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Solution

The third proportional to 27,920 and 41,400 is: 61,388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920 : 41,400 = 41,400 : x
  2. Step 2: Convert to fraction form
    27,920/41,400 = 41,400/x
  3. Step 3: Cross multiply
    27,920x = 41,400 × 41,400
  4. Step 4: Simplify right side
    27,920x = 1,713,960,000
  5. Step 5: Solve for x
    x = 1,713,960,000/27,920
  6. Step 6: Final answer
    x = 61,388.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.