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Finding the Third Proportional to 34.25 and 47.69

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Solution

The third proportional to 34.25 and 47.69 is: 66.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.25 : 47.69 = 47.69 : x
  2. Step 2: Convert to fraction form
    34.25/47.69 = 47.69/x
  3. Step 3: Cross multiply
    34.25x = 47.69 × 47.69
  4. Step 4: Simplify right side
    34.25x = 2,274.10
  5. Step 5: Solve for x
    x = 2,274.10/34.25
  6. Step 6: Final answer
    x = 66.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.