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Finding the Third Proportional to 12,996 and 18,521

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Solution

The third proportional to 12,996 and 18,521 is: 26,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996 : 18,521 = 18,521 : x
  2. Step 2: Convert to fraction form
    12,996/18,521 = 18,521/x
  3. Step 3: Cross multiply
    12,996x = 18,521 × 18,521
  4. Step 4: Simplify right side
    12,996x = 343,027,441
  5. Step 5: Solve for x
    x = 343,027,441/12,996
  6. Step 6: Final answer
    x = 26,394.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.