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Finding the Third Proportional to 9,490.50 and 13,041

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Solution

The third proportional to 9,490.50 and 13,041 is: 17,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.50 : 13,041 = 13,041 : x
  2. Step 2: Convert to fraction form
    9,490.50/13,041 = 13,041/x
  3. Step 3: Cross multiply
    9,490.50x = 13,041 × 13,041
  4. Step 4: Simplify right side
    9,490.50x = 170,067,681
  5. Step 5: Solve for x
    x = 170,067,681/9,490.50
  6. Step 6: Final answer
    x = 17,919.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.