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Finding the Third Proportional to 14.97 and 31.75

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Solution

The third proportional to 14.97 and 31.75 is: 67.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.97 : 31.75 = 31.75 : x
  2. Step 2: Convert to fraction form
    14.97/31.75 = 31.75/x
  3. Step 3: Cross multiply
    14.97x = 31.75 × 31.75
  4. Step 4: Simplify right side
    14.97x = 1,008.19
  5. Step 5: Solve for x
    x = 1,008.19/14.97
  6. Step 6: Final answer
    x = 67.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.