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Finding the Third Proportional to 35.50 and 75.44

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Solution

The third proportional to 35.50 and 75.44 is: 160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.50 : 75.44 = 75.44 : x
  2. Step 2: Convert to fraction form
    35.50/75.44 = 75.44/x
  3. Step 3: Cross multiply
    35.50x = 75.44 × 75.44
  4. Step 4: Simplify right side
    35.50x = 5,690.82
  5. Step 5: Solve for x
    x = 5,690.82/35.50
  6. Step 6: Final answer
    x = 160.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.