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Finding the Third Proportional to 13,274 and 18,605

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Solution

The third proportional to 13,274 and 18,605 is: 26,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274 : 18,605 = 18,605 : x
  2. Step 2: Convert to fraction form
    13,274/18,605 = 18,605/x
  3. Step 3: Cross multiply
    13,274x = 18,605 × 18,605
  4. Step 4: Simplify right side
    13,274x = 346,146,025
  5. Step 5: Solve for x
    x = 346,146,025/13,274
  6. Step 6: Final answer
    x = 26,076.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.