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Finding the Third Proportional to 11,650 and 17,529

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Solution

The third proportional to 11,650 and 17,529 is: 26,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650 : 17,529 = 17,529 : x
  2. Step 2: Convert to fraction form
    11,650/17,529 = 17,529/x
  3. Step 3: Cross multiply
    11,650x = 17,529 × 17,529
  4. Step 4: Simplify right side
    11,650x = 307,265,841
  5. Step 5: Solve for x
    x = 307,265,841/11,650
  6. Step 6: Final answer
    x = 26,374.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.