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Finding the Third Proportional to 9,401.06 and 13,661.16

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Solution

The third proportional to 9,401.06 and 13,661.16 is: 19,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.06 : 13,661.16 = 13,661.16 : x
  2. Step 2: Convert to fraction form
    9,401.06/13,661.16 = 13,661.16/x
  3. Step 3: Cross multiply
    9,401.06x = 13,661.16 × 13,661.16
  4. Step 4: Simplify right side
    9,401.06x = 186,627,190.09
  5. Step 5: Solve for x
    x = 186,627,190.09/9,401.06
  6. Step 6: Final answer
    x = 19,851.71

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.