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Finding the Third Proportional to 45.66 and 73.41

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Solution

The third proportional to 45.66 and 73.41 is: 118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.66 : 73.41 = 73.41 : x
  2. Step 2: Convert to fraction form
    45.66/73.41 = 73.41/x
  3. Step 3: Cross multiply
    45.66x = 73.41 × 73.41
  4. Step 4: Simplify right side
    45.66x = 5,388.48
  5. Step 5: Solve for x
    x = 5,388.48/45.66
  6. Step 6: Final answer
    x = 118.02

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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.