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Finding the Third Proportional to 7.31 and 15.38

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Solution

The third proportional to 7.31 and 15.38 is: 32.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.31 : 15.38 = 15.38 : x
  2. Step 2: Convert to fraction form
    7.31/15.38 = 15.38/x
  3. Step 3: Cross multiply
    7.31x = 15.38 × 15.38
  4. Step 4: Simplify right side
    7.31x = 236.39
  5. Step 5: Solve for x
    x = 236.39/7.31
  6. Step 6: Final answer
    x = 32.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.