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Finding the Third Proportional to 14.75 and 31.63

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Solution

The third proportional to 14.75 and 31.63 is: 67.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.75 : 31.63 = 31.63 : x
  2. Step 2: Convert to fraction form
    14.75/31.63 = 31.63/x
  3. Step 3: Cross multiply
    14.75x = 31.63 × 31.63
  4. Step 4: Simplify right side
    14.75x = 1,000.14
  5. Step 5: Solve for x
    x = 1,000.14/14.75
  6. Step 6: Final answer
    x = 67.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.