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Finding the Third Proportional to 35.50 and 74.94

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Solution

The third proportional to 35.50 and 74.94 is: 158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.50 : 74.94 = 74.94 : x
  2. Step 2: Convert to fraction form
    35.50/74.94 = 74.94/x
  3. Step 3: Cross multiply
    35.50x = 74.94 × 74.94
  4. Step 4: Simplify right side
    35.50x = 5,615.63
  5. Step 5: Solve for x
    x = 5,615.63/35.50
  6. Step 6: Final answer
    x = 158.19

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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.