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Finding the Third Proportional to 5.97 and 15.75

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Solution

The third proportional to 5.97 and 15.75 is: 41.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.97 : 15.75 = 15.75 : x
  2. Step 2: Convert to fraction form
    5.97/15.75 = 15.75/x
  3. Step 3: Cross multiply
    5.97x = 15.75 × 15.75
  4. Step 4: Simplify right side
    5.97x = 248.06
  5. Step 5: Solve for x
    x = 248.06/5.97
  6. Step 6: Final answer
    x = 41.56

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These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.