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Finding the Third Proportional to 11,673 and 17,468.25

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Solution

The third proportional to 11,673 and 17,468.25 is: 26,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673 : 17,468.25 = 17,468.25 : x
  2. Step 2: Convert to fraction form
    11,673/17,468.25 = 17,468.25/x
  3. Step 3: Cross multiply
    11,673x = 17,468.25 × 17,468.25
  4. Step 4: Simplify right side
    11,673x = 305,139,758.06
  5. Step 5: Solve for x
    x = 305,139,758.06/11,673
  6. Step 6: Final answer
    x = 26,140.65

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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.