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Finding the Third Proportional to 46.50 and 94.50

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Solution

The third proportional to 46.50 and 94.50 is: 192.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 94.50 = 94.50 : x
  2. Step 2: Convert to fraction form
    46.50/94.50 = 94.50/x
  3. Step 3: Cross multiply
    46.50x = 94.50 × 94.50
  4. Step 4: Simplify right side
    46.50x = 8,930.25
  5. Step 5: Solve for x
    x = 8,930.25/46.50
  6. Step 6: Final answer
    x = 192.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.