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Finding the Third Proportional to 11,729 and 17,595

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Solution

The third proportional to 11,729 and 17,595 is: 26,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729 : 17,595 = 17,595 : x
  2. Step 2: Convert to fraction form
    11,729/17,595 = 17,595/x
  3. Step 3: Cross multiply
    11,729x = 17,595 × 17,595
  4. Step 4: Simplify right side
    11,729x = 309,584,025
  5. Step 5: Solve for x
    x = 309,584,025/11,729
  6. Step 6: Final answer
    x = 26,394.75

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