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Finding the Third Proportional to 38.94 and 53.31

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Solution

The third proportional to 38.94 and 53.31 is: 72.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.94 : 53.31 = 53.31 : x
  2. Step 2: Convert to fraction form
    38.94/53.31 = 53.31/x
  3. Step 3: Cross multiply
    38.94x = 53.31 × 53.31
  4. Step 4: Simplify right side
    38.94x = 2,842.22
  5. Step 5: Solve for x
    x = 2,842.22/38.94
  6. Step 6: Final answer
    x = 72.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.