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Finding the Third Proportional to 9,771.26 and 13,196.04

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Solution

The third proportional to 9,771.26 and 13,196.04 is: 17,821.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.26 : 13,196.04 = 13,196.04 : x
  2. Step 2: Convert to fraction form
    9,771.26/13,196.04 = 13,196.04/x
  3. Step 3: Cross multiply
    9,771.26x = 13,196.04 × 13,196.04
  4. Step 4: Simplify right side
    9,771.26x = 174,135,446.94
  5. Step 5: Solve for x
    x = 174,135,446.94/9,771.26
  6. Step 6: Final answer
    x = 17,821.19

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.