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Finding the Third Proportional to 50.94 and 71.22

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Solution

The third proportional to 50.94 and 71.22 is: 99.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.94 : 71.22 = 71.22 : x
  2. Step 2: Convert to fraction form
    50.94/71.22 = 71.22/x
  3. Step 3: Cross multiply
    50.94x = 71.22 × 71.22
  4. Step 4: Simplify right side
    50.94x = 5,072.11
  5. Step 5: Solve for x
    x = 5,072.11/50.94
  6. Step 6: Final answer
    x = 99.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.