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Finding the Third Proportional to 35.02 and 73.83

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Solution

The third proportional to 35.02 and 73.83 is: 155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.02 : 73.83 = 73.83 : x
  2. Step 2: Convert to fraction form
    35.02/73.83 = 73.83/x
  3. Step 3: Cross multiply
    35.02x = 73.83 × 73.83
  4. Step 4: Simplify right side
    35.02x = 5,450.59
  5. Step 5: Solve for x
    x = 5,450.59/35.02
  6. Step 6: Final answer
    x = 155.66

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.