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Finding the Third Proportional to 50.94 and 58.19

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Solution

The third proportional to 50.94 and 58.19 is: 66.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.94 : 58.19 = 58.19 : x
  2. Step 2: Convert to fraction form
    50.94/58.19 = 58.19/x
  3. Step 3: Cross multiply
    50.94x = 58.19 × 58.19
  4. Step 4: Simplify right side
    50.94x = 3,385.79
  5. Step 5: Solve for x
    x = 3,385.79/50.94
  6. Step 6: Final answer
    x = 66.47

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.