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Finding the Third Proportional to 12,480 and 27,267

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Solution

The third proportional to 12,480 and 27,267 is: 59,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480 : 27,267 = 27,267 : x
  2. Step 2: Convert to fraction form
    12,480/27,267 = 27,267/x
  3. Step 3: Cross multiply
    12,480x = 27,267 × 27,267
  4. Step 4: Simplify right side
    12,480x = 743,489,289
  5. Step 5: Solve for x
    x = 743,489,289/12,480
  6. Step 6: Final answer
    x = 59,574.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.