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Finding the Third Proportional to 45.38 and 96.84

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Solution

The third proportional to 45.38 and 96.84 is: 206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.38 : 96.84 = 96.84 : x
  2. Step 2: Convert to fraction form
    45.38/96.84 = 96.84/x
  3. Step 3: Cross multiply
    45.38x = 96.84 × 96.84
  4. Step 4: Simplify right side
    45.38x = 9,378.71
  5. Step 5: Solve for x
    x = 9,378.71/45.38
  6. Step 6: Final answer
    x = 206.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.