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Finding the Third Proportional to 14.31 and 15.75

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Solution

The third proportional to 14.31 and 15.75 is: 17.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.31 : 15.75 = 15.75 : x
  2. Step 2: Convert to fraction form
    14.31/15.75 = 15.75/x
  3. Step 3: Cross multiply
    14.31x = 15.75 × 15.75
  4. Step 4: Simplify right side
    14.31x = 248.06
  5. Step 5: Solve for x
    x = 248.06/14.31
  6. Step 6: Final answer
    x = 17.33

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.