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Finding the Third Proportional to 50.31 and 57.03

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Solution

The third proportional to 50.31 and 57.03 is: 64.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.31 : 57.03 = 57.03 : x
  2. Step 2: Convert to fraction form
    50.31/57.03 = 57.03/x
  3. Step 3: Cross multiply
    50.31x = 57.03 × 57.03
  4. Step 4: Simplify right side
    50.31x = 3,252.56
  5. Step 5: Solve for x
    x = 3,252.56/50.31
  6. Step 6: Final answer
    x = 64.65

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.