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Finding the Third Proportional to 49.06 and 71.75

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Solution

The third proportional to 49.06 and 71.75 is: 104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.06 : 71.75 = 71.75 : x
  2. Step 2: Convert to fraction form
    49.06/71.75 = 71.75/x
  3. Step 3: Cross multiply
    49.06x = 71.75 × 71.75
  4. Step 4: Simplify right side
    49.06x = 5,148.06
  5. Step 5: Solve for x
    x = 5,148.06/49.06
  6. Step 6: Final answer
    x = 104.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.