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Finding the Third Proportional to 48.28 and 73.03

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Solution

The third proportional to 48.28 and 73.03 is: 110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.28 : 73.03 = 73.03 : x
  2. Step 2: Convert to fraction form
    48.28/73.03 = 73.03/x
  3. Step 3: Cross multiply
    48.28x = 73.03 × 73.03
  4. Step 4: Simplify right side
    48.28x = 5,333.56
  5. Step 5: Solve for x
    x = 5,333.56/48.28
  6. Step 6: Final answer
    x = 110.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.