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Finding the Third Proportional to 45.91 and 73.82

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Solution

The third proportional to 45.91 and 73.82 is: 118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.91 : 73.82 = 73.82 : x
  2. Step 2: Convert to fraction form
    45.91/73.82 = 73.82/x
  3. Step 3: Cross multiply
    45.91x = 73.82 × 73.82
  4. Step 4: Simplify right side
    45.91x = 5,448.86
  5. Step 5: Solve for x
    x = 5,448.86/45.91
  6. Step 6: Final answer
    x = 118.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.