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Finding the Third Proportional to 34.50 and 63.94

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Solution

The third proportional to 34.50 and 63.94 is: 118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.50 : 63.94 = 63.94 : x
  2. Step 2: Convert to fraction form
    34.50/63.94 = 63.94/x
  3. Step 3: Cross multiply
    34.50x = 63.94 × 63.94
  4. Step 4: Simplify right side
    34.50x = 4,088.00
  5. Step 5: Solve for x
    x = 4,088.00/34.50
  6. Step 6: Final answer
    x = 118.49

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.