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Finding the Third Proportional to 45.94 and 71.06

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Solution

The third proportional to 45.94 and 71.06 is: 109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.94 : 71.06 = 71.06 : x
  2. Step 2: Convert to fraction form
    45.94/71.06 = 71.06/x
  3. Step 3: Cross multiply
    45.94x = 71.06 × 71.06
  4. Step 4: Simplify right side
    45.94x = 5,049.88
  5. Step 5: Solve for x
    x = 5,049.88/45.94
  6. Step 6: Final answer
    x = 109.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.