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Finding the Third Proportional to 41.50 and 45.50

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Solution

The third proportional to 41.50 and 45.50 is: 49.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.50 : 45.50 = 45.50 : x
  2. Step 2: Convert to fraction form
    41.50/45.50 = 45.50/x
  3. Step 3: Cross multiply
    41.50x = 45.50 × 45.50
  4. Step 4: Simplify right side
    41.50x = 2,070.25
  5. Step 5: Solve for x
    x = 2,070.25/41.50
  6. Step 6: Final answer
    x = 49.89

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.