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Finding the Third Proportional to 50.63 and 73.31

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Solution

The third proportional to 50.63 and 73.31 is: 106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.63 : 73.31 = 73.31 : x
  2. Step 2: Convert to fraction form
    50.63/73.31 = 73.31/x
  3. Step 3: Cross multiply
    50.63x = 73.31 × 73.31
  4. Step 4: Simplify right side
    50.63x = 5,374.72
  5. Step 5: Solve for x
    x = 5,374.72/50.63
  6. Step 6: Final answer
    x = 106.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.