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Finding the Third Proportional to 43,107.82 and 65,592.91

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Solution

The third proportional to 43,107.82 and 65,592.91 is: 99,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,107.82 : 65,592.91 = 65,592.91 : x
  2. Step 2: Convert to fraction form
    43,107.82/65,592.91 = 65,592.91/x
  3. Step 3: Cross multiply
    43,107.82x = 65,592.91 × 65,592.91
  4. Step 4: Simplify right side
    43,107.82x = 4,302,430,375.21
  5. Step 5: Solve for x
    x = 4,302,430,375.21/43,107.82
  6. Step 6: Final answer
    x = 99,806.26

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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.