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Finding the Third Proportional to 35,113.50 and 76,474.13

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Solution

The third proportional to 35,113.50 and 76,474.13 is: 166,553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,113.50 : 76,474.13 = 76,474.13 : x
  2. Step 2: Convert to fraction form
    35,113.50/76,474.13 = 76,474.13/x
  3. Step 3: Cross multiply
    35,113.50x = 76,474.13 × 76,474.13
  4. Step 4: Simplify right side
    35,113.50x = 5,848,291,794.52
  5. Step 5: Solve for x
    x = 5,848,291,794.52/35,113.50
  6. Step 6: Final answer
    x = 166,553.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.