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Finding the Third Proportional to 12,551 and 27,082

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Solution

The third proportional to 12,551 and 27,082 is: 58,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551 : 27,082 = 27,082 : x
  2. Step 2: Convert to fraction form
    12,551/27,082 = 27,082/x
  3. Step 3: Cross multiply
    12,551x = 27,082 × 27,082
  4. Step 4: Simplify right side
    12,551x = 733,434,724
  5. Step 5: Solve for x
    x = 733,434,724/12,551
  6. Step 6: Final answer
    x = 58,436.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.