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Finding the Third Proportional to 35,443.13 and 76,704.19

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Solution

The third proportional to 35,443.13 and 76,704.19 is: 165,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,443.13 : 76,704.19 = 76,704.19 : x
  2. Step 2: Convert to fraction form
    35,443.13/76,704.19 = 76,704.19/x
  3. Step 3: Cross multiply
    35,443.13x = 76,704.19 × 76,704.19
  4. Step 4: Simplify right side
    35,443.13x = 5,883,532,380.04
  5. Step 5: Solve for x
    x = 5,883,532,380.04/35,443.13
  6. Step 6: Final answer
    x = 165,999.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.