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Finding the Third Proportional to 13,215 and 27,267

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Solution

The third proportional to 13,215 and 27,267 is: 56,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215 : 27,267 = 27,267 : x
  2. Step 2: Convert to fraction form
    13,215/27,267 = 27,267/x
  3. Step 3: Cross multiply
    13,215x = 27,267 × 27,267
  4. Step 4: Simplify right side
    13,215x = 743,489,289
  5. Step 5: Solve for x
    x = 743,489,289/13,215
  6. Step 6: Final answer
    x = 56,261.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.