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Finding the Third Proportional to 11,378 and 17,462

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Solution

The third proportional to 11,378 and 17,462 is: 26,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378 : 17,462 = 17,462 : x
  2. Step 2: Convert to fraction form
    11,378/17,462 = 17,462/x
  3. Step 3: Cross multiply
    11,378x = 17,462 × 17,462
  4. Step 4: Simplify right side
    11,378x = 304,921,444
  5. Step 5: Solve for x
    x = 304,921,444/11,378
  6. Step 6: Final answer
    x = 26,799.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.