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Finding the Third Proportional to 11,481 and 17,451

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Solution

The third proportional to 11,481 and 17,451 is: 26,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481 : 17,451 = 17,451 : x
  2. Step 2: Convert to fraction form
    11,481/17,451 = 17,451/x
  3. Step 3: Cross multiply
    11,481x = 17,451 × 17,451
  4. Step 4: Simplify right side
    11,481x = 304,537,401
  5. Step 5: Solve for x
    x = 304,537,401/11,481
  6. Step 6: Final answer
    x = 26,525.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.