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Finding the Third Proportional to 49.26 and 73.28

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Solution

The third proportional to 49.26 and 73.28 is: 109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.26 : 73.28 = 73.28 : x
  2. Step 2: Convert to fraction form
    49.26/73.28 = 73.28/x
  3. Step 3: Cross multiply
    49.26x = 73.28 × 73.28
  4. Step 4: Simplify right side
    49.26x = 5,370.35
  5. Step 5: Solve for x
    x = 5,370.35/49.26
  6. Step 6: Final answer
    x = 109.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.