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Finding the Third Proportional to 13,122 and 17,982

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Solution

The third proportional to 13,122 and 17,982 is: 24,642

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122 : 17,982 = 17,982 : x
  2. Step 2: Convert to fraction form
    13,122/17,982 = 17,982/x
  3. Step 3: Cross multiply
    13,122x = 17,982 × 17,982
  4. Step 4: Simplify right side
    13,122x = 323,352,324
  5. Step 5: Solve for x
    x = 323,352,324/13,122
  6. Step 6: Final answer
    x = 24,642

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.