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Finding the Third Proportional to 35,812.13 and 71,647.03

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Solution

The third proportional to 35,812.13 and 71,647.03 is: 143,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.13 : 71,647.03 = 71,647.03 : x
  2. Step 2: Convert to fraction form
    35,812.13/71,647.03 = 71,647.03/x
  3. Step 3: Cross multiply
    35,812.13x = 71,647.03 × 71,647.03
  4. Step 4: Simplify right side
    35,812.13x = 5,133,297,086.94
  5. Step 5: Solve for x
    x = 5,133,297,086.94/35,812.13
  6. Step 6: Final answer
    x = 143,339.64

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.