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Finding the Third Proportional to 27,180 and 40,257

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Solution

The third proportional to 27,180 and 40,257 is: 59,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180 : 40,257 = 40,257 : x
  2. Step 2: Convert to fraction form
    27,180/40,257 = 40,257/x
  3. Step 3: Cross multiply
    27,180x = 40,257 × 40,257
  4. Step 4: Simplify right side
    27,180x = 1,620,626,049
  5. Step 5: Solve for x
    x = 1,620,626,049/27,180
  6. Step 6: Final answer
    x = 59,625.68

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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.