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Finding the Third Proportional to 11,496.94 and 17,420.06

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Solution

The third proportional to 11,496.94 and 17,420.06 is: 26,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.94 : 17,420.06 = 17,420.06 : x
  2. Step 2: Convert to fraction form
    11,496.94/17,420.06 = 17,420.06/x
  3. Step 3: Cross multiply
    11,496.94x = 17,420.06 × 17,420.06
  4. Step 4: Simplify right side
    11,496.94x = 303,458,577.50
  5. Step 5: Solve for x
    x = 303,458,577.50/11,496.94
  6. Step 6: Final answer
    x = 26,394.73

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