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Finding the Third Proportional to 35,174.25 and 73,993.50

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Solution

The third proportional to 35,174.25 and 73,993.50 is: 155,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,174.25 : 73,993.50 = 73,993.50 : x
  2. Step 2: Convert to fraction form
    35,174.25/73,993.50 = 73,993.50/x
  3. Step 3: Cross multiply
    35,174.25x = 73,993.50 × 73,993.50
  4. Step 4: Simplify right side
    35,174.25x = 5,475,038,042.25
  5. Step 5: Solve for x
    x = 5,475,038,042.25/35,174.25
  6. Step 6: Final answer
    x = 155,654.72

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.