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Finding the Third Proportional to 34.14 and 47.97

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Solution

The third proportional to 34.14 and 47.97 is: 67.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.14 : 47.97 = 47.97 : x
  2. Step 2: Convert to fraction form
    34.14/47.97 = 47.97/x
  3. Step 3: Cross multiply
    34.14x = 47.97 × 47.97
  4. Step 4: Simplify right side
    34.14x = 2,301.00
  5. Step 5: Solve for x
    x = 2,301.00/34.14
  6. Step 6: Final answer
    x = 67.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.