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Finding the Third Proportional to 45 and 93.88

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Solution

The third proportional to 45 and 93.88 is: 195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45 : 93.88 = 93.88 : x
  2. Step 2: Convert to fraction form
    45/93.88 = 93.88/x
  3. Step 3: Cross multiply
    45x = 93.88 × 93.88
  4. Step 4: Simplify right side
    45x = 8,812.52
  5. Step 5: Solve for x
    x = 8,812.52/45
  6. Step 6: Final answer
    x = 195.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.